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[START Homepage | Project Description | Publications | Theses]
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| [100] | Wave equations on non-smooth space-times | | Authors: Hörmann G. , Kunzinger M. , Steinbauer R.
| | MSC-class: 58J45; 35L05, 35L15, 35D99, 46F30
| | Journal: submitted | | ArXive: 1107.0014 |
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| [99] | Geometric regularization on Riemannian and Lorentzian manifolds | | Authors: Dave S. , Hörmann G. , Kunzinger M.
| | MSC-class: 58J37; 46F30, 46T30, 35A27, 53C50
| | Journal: submitted | | ArXive: 1107.0010 |
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| [98] | New energy inequalities for tensorial wave equations on one-sided bounded spacetimes | | Authors: Burtscher A. , Grant J. , LeFloch P.
| | MSC-class:
| | Journal: submitted | | ArXive: 1105.0168 |
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| [97] | Generalised Fourier integral operator methods for hyperbolic equations with singularities | | Authors: Garetto C. , Oberguggenberger M.
| | MSC-class: 35S30, 46F30, 35B65
| | Journal: submitted | | ArXive: 1104.3035 |
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| [96] | Symmetrisers and generalised solutions for strictly hyperbolic systems with singular coefficients | | Authors: Garetto C. , Oberguggenberger M.
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| | Journal: submitted | | ArXive: 1104.2281 |
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| [95] | Topological and algebraic structures on the ring of Fermat reals | | Authors: Giordano P. , Kunzinger M.
| | MSC-class: 03H05, 12D, 13J25
| | Journal: submitted | | ArXive: 1104.1492 |
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| [94] | Manifold-valued generalized functions in full Colombeau spaces | | Authors: Kunzinger M. , Nigsch E.
| | MSC-class: 46F30, 46T30, 26E15
| | Journal: submitted | | ArXive: 1103.5845 |
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| [93] | Generalized solutions for the Euler-Bernoulli model with Zener viscoelastic foundations and distributional forces | | Authors: Hörmann G. , Konjik S. , Oparnica L.
| | MSC-class: 35D30, 46F30, 35Q74, 26A33, 35A15
| | Journal: submitted | | ArXive: 1102.2148 |
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| [92] | Wave-type equations of low regularity | | Authors: Hanel C.
| | MSC-class: 83C75, 46F30, 35D05, 35Q75
| | Journal: Applicable Analysis, iFirst, 2010 | | ArXive: 1011.4108 |
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| [91] | Generalized conditional symmetries of evolution equations | | Authors: Kunzinger M. , Popovych R.
| | MSC-class: 35B06; 35K55, 35K57, 35C05
| | Journal: J. Math. Anal. Appl., to appear | | ArXive: 1011.0277 |
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| [90] | Algebras of generalized functions with smooth parameter dependence | | Authors: Burtscher A. , Kunzinger M.
| | MSC-class: 46F30, 13J25, 46T30
| | Journal: submitted | | ArXive: 1010.5752 |
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| [89] | Null injectivity estimate under an upper curvature bound | | Authors: Grant J. , LeFloch P.
| | MSC-class:
| | Journal: submitted | | ArXive: 1008.5167 |
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| [88] | Areas and volumes for null cones | | Authors: Grant J.
| | MSC-class: 53C23, 53C80
| | Journal: Annales Henri Poincare, to appear | | ArXive: 1008.0524 |
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| [87] | Equivariant homology for pseudo-differential operators | | Authors: Dave S.
| | MSC-class: 58J40, 19D55
| | Journal: submitted | | ArXive: 1005.2282 |
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| [86] | Inversion of a discontinuous coordinate transformation in general relativity | | Authors: Erlacher E. , Grosser M.
| | MSC-class: 83C35, 46F30, 26B10
| | Journal: submitted | | ArXive: 1003.4245 |
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| [85] | Notes on generalized pseudo-differential operators | | Authors: Dave S.
| | MSC-class: 58J40, 19D55
| | Journal: submitted | | ArXive: 1005.2279 |
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| [84] | Optimal regularization processes on complete Riemannian manifolds | | Authors: Dave S. , Hörmann G. , Kunzinger M.
| | MSC-class: 58J37, 46F30, 46T30, 35A27, 35L05
| | Journal: submitted | | ArXive: 1003.3341 |
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| [83] | Synthetic geometry and generalised functions | | Authors: Grant J.
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| | Journal: Proceedings of GF2009, Vienna, to appear |
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| [82] | The Cauchy problem for Schrödinger-type partial differential operators with generalized functions in the principal part and as data | | Authors: Hörmann G.
| | MSC-class: 46F30; 35D99
| | Journal: Monatshefte f. Mathematik, to appear | | ArXive: 0909.5672 |
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| [81] | A global approach to generalized function algebras | | Authors: Dave S.
| | MSC-class: 46F30; 46T30, 58D99
| | Journal: Integral Transforms and Spec. Functions, Vol. 20, No. 3, 2009 |
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| [80] | Rapidly converging approximations and regularity theory | | Authors: Dave S.
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| | Journal: submitted | | ArXive: 0906.1374 |
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| [79] | Is a nonclassical symmetry a symmetry? | | Authors: Kunzinger M. , Popovych R.
| | MSC-class: 35A30; 35C05
| | Journal: Proc. of 4th Workshop "Group Anal. of Diff. Equ. and Int. Systems", 2009 | | ArXive: 0903.0821 |
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| [78] | A global theory of algebras of generalized functions II: tensor distributions | | Authors: Grosser M. , Kunzinger M. , Steinbauer R. , Vickers J.
| | MSC-class: 46F30; 46T30, 26E15, 58B10, 46A17
| | Journal: submitted | | ArXive: 0902.1865 |
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| [77] | A Note on Distribution Spaces on Manifolds | | Authors: Grosser M.
| | MSC-class: 46T30; 46F05, 46H40
| | Journal: Novi Sad Journal of Mathematics, to appear | | ArXive: 0812.5099 |
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| [76] | Tensor Valued Colombeau Functions on Manifolds | | Authors: Grosser M.
| | MSC-class: 46F30; 46T30, 53A45
| | Journal: Banach Center Publications, to appear | | ArXive: 0812.3275 |
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| [75] | Reducible connections and non-local symmetries of the self-dual Yang-Mills equations | | Authors: Grant J.
| | MSC-class:
| | Journal: Communications in Math. Physics, Vol. 296, 2010 | | ArXive: 0812.2147 |
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| [74] | The ADHM construction and non-local symmetries of the self-dual Yang-Mills equations | | Authors: Grant J.
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| | Journal: Communications in Math. Physics, Vol. 296, 2010 | | ArXive: 0812.2005 |
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| [73] | Generalized solutions for the Euler-Bernoulli model with distributional forces | | Authors: Hörmann G. , Oparnica L.
| | MSC-class: 35D05; 35D10; 46F30; 35Q72
| | Journal: J. Math. Anal. Appl., Vol. 357, 2009 | | ArXive: 0812.1958 |
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| [72] | A Note on Distributional Semi-Riemannian Geometry | | Authors: Steinbauer R.
| | MSC-class: 83C75; 46T30, 53B30, 46F10, 46F30
| | Journal: Proc. 12th Serb. Math. Congr., Novi Sad J. Math., Vol. 38, No. 3, 2008 | | ArXive: 0812.0173 |
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| [71] | Banach $widetilde{mathbb C}$-algebras | | Authors: Vernaeve H.
| | MSC-class: 46F30
| | Journal: | | ArXive: 0811.1742 |
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| [70] | Generalized analytic functions on generalized domains | | Authors: Vernaeve H.
| | MSC-class: 46F30
| | Journal: | | ArXive: 0811.1521 |
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| [69] | On the Geroch-Traschen class of metrics | | Authors: Steinbauer R. , Vickers J.
| | MSC-class: 83C75; 46T30, 53B30, 46F10, 46F30
| | Journal: Classical and Quantum Gravity, Vol. 26, No. 6 | | ArXive: 0811.1376 |
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| [68] | Block diagonalisation of four-dimensional metrics | | Authors: Grant J. , Vickers J.
| | MSC-class: 58A15; 53B99
| | Journal: Classical and Quantum Gravity, Vol. 26, No. 23, 2009 | | ArXive: 0809.3327 |
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| [67] | Classical and Quantum Mechanics via Lie algebras | | Authors: Neumaier A. , Westra D.
| | Type: book |
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| [66] | Singular reduction operators in two dimensions | | Authors: Kunzinger M. , Popovych R.
| | MSC-class: 35A30, 35C05, 35K55, 35K55, 35L70
| | Journal: J. Phys. A: Math. Theor., Vol. 41, No. 505201, 2008 | | ArXive: 0808.3577 |
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| [65] | On positivity in algebras of tempered generalized functions | | Authors: Mayerhofer E.
| | MSC-class: 46F30
| | Journal: | | ArXive: 0808.0789 |
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| [64] | Seismic imaging with the generalized Radon transform and double beamforming: A phase-space transform perspective | | Authors: de Hoop M. , Uhlmann G. , van der Hilst R.
| | MSC-class:
| | Journal: submitted |
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| [62] | Local Conservation Laws of Second-Order Evolution Equations | | Authors: Popovych R. , Samoilenko A.
| | MSC-class: 35K55, 35K57, 35A30
| | Journal: J. Phys. A: Math. Theor., Vol. 41, 2008 | | ArXive: 0806.2765 |
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| [61] | Conservation laws and hierarchies of potential symmetries for certain diffusion equations | | Authors: Ivanova N. , Popovych R. , Sophocleous C. , Vaneeva O.
| | MSC-class: 35K57, 35A30
| | Journal: Physica A, Vol. 388, 2009 | | ArXive: 0806.1698 |
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| [60] | Potential Conservation Laws | | Authors: Kunzinger M. , Popovych R.
| | MSC-class: 35A99, 35A30, 35K57, 35K05
| | Journal: J. Math. Phys., Vol. 49, No. 103506, 2008 | | ArXive: 0803.1156 |
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| [59] | Generalized Fourier Integral Operators on spaces of Colombeau type | | Authors: Garetto C.
| | MSC-class: 35S30; 46F30
| | Journal: Operator theory, Advances and Applications, Birkh. Verlag, Vol. 189, 2008 | | ArXive: 0803.0284 |
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| [58] | Symmetry justification of Lorenz´ maximum simplification | | Authors: Bihlo A. , Popovych R.
| | MSC-class:
| | Journal: Nonlinear Dynamics, to appear | | ArXive: 0805.4061 |
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| [57] | Interactions of delta shock waves in a strictly hyperbolic system of conservation laws | | Authors: Nedeljkov M. , Oberguggenberger M.
| | MSC-class:
| | Journal: J. Math. Anal. Appl., Vol. 344, 2008 |
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| [56] | Recent Progress in Special Colombeau Algebras: Geometry, Topology, and Algebra | | Authors: Kunzinger M.
| | MSC-class: 46F30;46T30;46A20;16D25;53B20
| | Journal: Banach Center Publications, Vol. 88, 2010 | | ArXive: 0712.4340 |
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| [55] | Pointwise characterizations in generalized function algebras | | Authors: Vernaeve H.
| | MSC-class: 46F30
| | Journal: Monatshefte f. Mathematik, Vol. 158, 2009 | | ArXive: 0712.3464 |
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| [54] | Reduction operators of linear second-order parabolic equations | | Authors: Popovych R.
| | MSC-class: 35A30, 35C05, 35K05, 35K10
| | Journal: J. Phys. A, Vol. 41, 2008 | | ArXive: 0712.2764 |
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| [53] | Full Algebra of Generalized Functions and Non-Standard Asymptotic Analysis | | Authors: Todorov T. , Vernaeve H.
| | MSC-class: 46F30; 46F10; 03H05; 46S20; 46S10; 35D05
| | Journal: Logic and Analysis, Vol. 1, No. 3, 2008 | | ArXive: 0712.2603 |
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| [52] | Comparison of some solution concepts for linear first-order hyperbolic differential equations with non-smooth coefficients | | Authors: Haller S. , Hörmann G.
| | MSC-class: 35D05,35D10,46F10,46F30
| | Journal: Publ. de l`Institut Mathematique, Vol. 84, No. 98, 2008 | | ArXive: 0712.1669 |
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| [51] | Weak homogeneity in generalized function algebras | | Authors: Vernaeve H.
| | MSC-class: 46F30
| | Journal: Mathematische Nachrichten, Vol. 283 (10), 2010 | | ArXive: 0711.2495 |
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| [50] | Wave equations on space-times of low regularity: Existence results and regularity theory in the framework of generalized function algebras | | Authors: Grant J. , Mayerhofer E.
| | MSC-class: 35L05; 58J45
| | Journal: Proceedings of GF2007, Bedlewo, 2007 | | ArXive: 0711.1972 |
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| [49] | A geometric approach to full Colombeau algebras | | Authors: Steinbauer R.
| | MSC-class: 46T30; 46F30
| | Journal: Proceedings of GF2007, Bedlewo, to appear | | ArXive: 0710.2096 |
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| [48] | The wave equation on singular space times | | Authors: Grant J. , Mayerhofer E. , Steinbauer R.
| | MSC-class: 83C75, 46F30, 35D05, 35Q75
| | Journal: Comm. in Mathematical Physics, Vol. 285, No. 2, 2009 | | ArXive: 0710.2007v1 |
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| [47] | Geometrical embeddings for distributions into algebras of generalized functions | | Authors: Dave S.
| | MSC-class:
| | Journal: submitted | | ArXive: 0709.2039 |
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| [46] | Enhanced group analysis of variable coefficient semilinear diffusion equations with a power source | | Authors: Popovych R. , Sophocleous C. , Vaneeva O.
| | MSC-class: 35K57, 35A30, 35C05
| | Journal: Acta Appl. Math., Vol. 106, 2009 | | ArXive: 0708.3457 |
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| [45] | Foundations of the calculus of variations in generalized function algebras | | Authors: Konjik S. , Kunzinger M. , Oberguggenberger M.
| | MSC-class: 49J27, 46F30, 49K27, 37K05
| | Journal: Acta Appl. Math., Vol. 103, No. 2, 2008 | | ArXive: 0707.1842 |
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| [44] | Hilbert $widetilde{mathbb{C}}$-modules: structural properties and applications to variational problems | | Authors: Garetto C. , Vernaeve H.
| | MSC-class: 46F30; 13J99
| | Journal: Transactions of the American Mathematical Society, Vol. 363, 2011 | | ArXive: 0707.1104 |
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| [43] | Internal sets and internal functions in Colombeau theory | | Authors: Oberguggenberger M. , Vernaeve H.
| | MSC-class: 46F30, 46S20
| | Journal: J. Math. Anal. Appl., Vol. 341 | | ArXive: 0707.0994 |
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| [42] | Ideals in the ring of Colombeau generalized numbers | | Authors: Vernaeve H.
| | MSC-class: 16D25; 46F30
| | Journal: Communications in Algebra, Vol. 38 (6), 2010 | | ArXive: 0707.0698 |
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| [41] | Conservation Laws and Potential Symmetries of Linear Parabolic Equations | | Authors: Ivanova N. , Kunzinger M. , Popovych R.
| | MSC-class: 35K05; 35A30; 58J70; 35A15
| | Journal: Acta Appl. Math., Vol. 100, No. 2, 2008 | | ArXive: 0706.0443 |
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| [40] | Sequence spaces with exponent weights. Realizations in Colombeau type algebras
| | Authors: Delcroix A. , Hasler M. , Pilipovic S. , Valmorin V.
| | MSC-class: 46A45, 46F30, 46E10, 46A03, 46A13, 46A50
| | Journal: Dissert. Math., No. 447, 2007 |
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| [39] | Microlocal Asymptotical Analysis in Algebras of Generalized Functions | | Authors: Delcroix A. , Marti J. , Oberguggenberger M.
| | MSC-class: 35A18, 35A27, 46E10, 46F30, 46T30
| | Journal: Asymptotic Analysis, Vol. 59, 2008 | | ArXive: 0704.1077 |
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| [38] | Real analytic generalized functions | | Authors: Pilipovic S. , Scarpalezos D. , Valmorin V.
| | MSC-class: 35D05, 35L60, 46F30
| | Journal: Monatsh. Math., Vol. 156, No. 1, 2009 | | ArXive: math.AP/0702794 |
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| [37] | Multidimensional integrable systems from deformations of Lie algebra homomorphisms | | Authors: Dunajski M. , Grant J. , Strachan I.
| | MSC-class:
| | Journal: Journal of Mathematical Physics, Vol. 48, 2007 | | ArXive: nlin.SI/0702040 |
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| [36] | Microlocal analysis of generalized pullbacks of Colombeau functions | | Authors: Haller S.
| | MSC-class: 46F30, 35A27, 35A18, 35D10
| | Journal: Acta Applicandae Mathematicae, Vol. 105, No. 1, 2009 | | ArXive: math.FA/0701485 |
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| [35] | Fundamental solutions in the Colombeau framework:applications to solvability and regularity theory | | Authors: Garetto C.
| | MSC-class: 46F30; 35E05
| | Journal: Acta. Appl. Math., Vol. 102, 2008 | | ArXive: math.AP/0701344 |
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| [34] | Global holomorphic representatives of Colombeau holomorphic generalized functions | | Authors: Oberguggenberger M. , Pilipovic S. , Valmorin V.
| | MSC-class: 46F10, 46S10, 35A27
| | Journal: Monatsh. f. Math., No. 151, 2007 |
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| [32] | Isomorphisms of algebras of Colombeau generalized functions | | Authors: Vernaeve H.
| | MSC-class: 46F30, 46E25, 54C40, 58A05
| | Journal: Monatshefte fuer Mathematik, Vol. 162, 2011 | | ArXive: math.FA/0612646 |
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| [30] | Homogeneity in generalized function algebras | | Authors: Hanel C. , Mayerhofer E. , Pilipovic S. , Vernaeve H.
| | MSC-class: 46F30
| | Journal: J. Math. Anal. Appl., Vol. 339, 2008 | | ArXive: math.GM/0611377 |
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| [29] | Admissible transformations of nonlinear Schrödinger equations | | Authors: Eshragi H. , Kunzinger M. , Popovych R.
| | MSC-class: 35A30, 35Q55, 58J70, 35C05
| | Journal: Acta Appl. Math., Vol. 109, 2010 | | ArXive: math-ph/0611061 |
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| [28] | An equivariant noncommutative residue | | Authors: Dave S.
| | MSC-class: 58J40, 58J42
| | Journal: submitted | | ArXive: math.AP/0610371 |
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| [27] | Sheaves of nonlinear generalized functions and manifold-valued distributions | | Authors: Kunzinger M. , Steinbauer R. , Vickers J.
| | MSC-class: 46T30, 46F30, 53B20
| | Journal: Trans. Amer. Math. Soc., Vol. 361, 2009 | | ArXive: math.FA/0609358 |
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| [26] | Closed graph and open mapping theorems for topological $tilde{mathbb C}$-modules and applications | | Authors: Garetto C.
| | MSC-class: 13J99, 46A30, 46F30
| | Journal: Math. Nachr., to appear | | ArXive: math.FA/0608087 |
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| [25] | Generalized Oscillatory Integrals and Fourier Integral Operators | | Authors: Garetto C. , Hörmann G. , Oberguggenberger M.
| | MSC-class: 46F30
| | Journal: Proc. Edinburgh Math Soc., Vol. 52, No. 2, 2009 | | ArXive: math.AP/0607706 |
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| [24] | Distributional solution concepts for the Euler-Bernoulli beam equation with discontinous coefficients | | Authors: Hörmann G. , Oparnica L.
| | MSC-class: 46F10, 34A36
| | Journal: Applicable Analysis, Vol. 86, 2007 | | ArXive: math.AP/0606058 |
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| [22] | Spherical completeness of the non-archemedian ring of Colombeau generalized numbers | | Authors: Mayerhofer E.
| | MSC-class: 46F30
| | Journal: Bull. Inst. Math. Acad. Sinica (NS), Vol. 2, No. 3, 2007 | | ArXive: math.GM/0604495 |
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| [21] | On Lorentz geometry in algebras of generalized functions | | Authors: Mayerhofer E.
| | MSC-class: 53B30, 46T30, 46F30, 83C99
| | Journal: Proceedings of the Royal Society of Edinburgh Sect. A, Vol. 138, No. 4, 2008 | | ArXive: math-ph/0604052 |
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| [19] | Notes on regularity results in Colombeau algebras | | Authors: Oberguggenberger M.
| | MSC-class:
| | Journal: Integral Transforms Spec. Funct., Vol. 17, No. 2, 2006 |
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| [17] | Regularity theory in Colombeau algebras | | Authors: Oberguggenberger M.
| | MSC-class:
| | Journal: Bull. T. CXXXIII Acad. Serbe. Sci. Arts, Cl. Sci. Math. Nat., Sci. Math., Vol. 31, 2006 |
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| [16] | The use of Generalized Functions and Distributions in General Relativity | | Authors: Steinbauer R. , Vickers J.
| | MSC-class: 8302
| | Journal: Class. Quantum Grav., Vol. 23, No. 10, 2006 | | ArXive: gr-qc/0603078 |
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| [15] | Generalized solutions of the Vlasov-Poisson system with singular data | | Authors: Kmit I. , Kunzinger M. , Steinbauer R.
| | MSC-class: 35A05; 46F30, 35Q72, 82C22
| | Journal: J. Math. Anal. Appl., Vol. 340, 2008 | | ArXive: math.AP/0601552 |
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| [14] | Group invariant Colombeau generalized functions | | Authors: Vernaeve H.
| | MSC-class: 46F30, 35D05
| | Journal: Monatsh. Math., Vol. 138, 2008 | | ArXive: math/0512219 |
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| [13] | On the Characterisation of p-adic Colombeau-Egorov generalized functions by their point values | | Authors: Mayerhofer E.
| | MSC-class: 46F30
| | Journal: Mathematische Nachrichten, Vol. 280, No. 11, 2007 | | ArXive: math.FA/0508027 |
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| [12] | On duality theory and pseudodifferential techniques for Colombeau algebras, generalized delta functionals, kernels and wave front sets | | Authors: Garetto C. , Hörmann G.
| | MSC-class: 46F30, 13J99, 35S30, 35D16
| | Journal: Bull. Acad. Serbe Cl. Sci., Vol. 31, 2006 | | ArXive: math.FA/0507222 |
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| [11] | Evolution systems for paraxial wave equations of Schrödiger-type with non-smooth coefficients | | Authors: de Hoop M. , Hörmann G. , Oberguggenberger M.
| | MSC-class: 35Q99, 46N20
| | Journal: Jour. Diff. Eqs., Vol. 245, 2008 | | ArXive: math.AP/0506410 |
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| [7] | Generalized group actions in a global setting | | Authors: Konjik S. , Kunzinger M.
| | MSC-class: 46F30;58E40;46T30; 35A30
| | Journal: J. Math. Anal. Appl., Vol. 322, No. 1, 2006 | | ArXive: math.FA/0504061 |
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| [6] | Group Invariants in Algebras of Generalized Functions | | Authors: Konjik S. , Kunzinger M.
| | MSC-class: 46F30, 58D19, 46T30, 35A30
| | Journal: Integral Transforms Spec. Funct., Vol. 17, No. 2, 2006 | | ArXive: math.FA/0504043 |
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| [5] | Global Gronwall Estimates for Integral Curves on Riemannian Manifolds | | Authors: Kunzinger M. , Schichl H. , Steinbauer R. , Vickers J.
| | MSC-class: 53B21, 53C22, 34A26
| | Journal: Rev. Mat. Comp., Vol. 19, No. 1, 2006 | | ArXive: math.DG/0412045 |
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| [3] | On Classical Solutions of the Relativistic Vlasov-Klein-Gordon System | | Authors: Kunzinger M. , Rein G. , Steinbauer R. , Teschl G.
| | MSC-class: 35A07, 35Q72, 35Q40, 82C22
| | Journal: EJDE, Vol. 1, 2005 | | ArXive: math.AP/0407028 |
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| [2] | Generalized Connections and Curvature | | Authors: Kunzinger M. , Steinbauer R. , Vickers J.
| | MSC-class: 46F30, 53B05, 46T30
| | Journal: Math. Proc. Cambridge Philos. Soc., Vol. 355, No. 3, 2005 | | ArXive: math.FA/0403040 |
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| [1] | Microlocal hypoellipticity of linear partial differential equations with generalized functions as coefficients | | Authors: Hörmann G. , Oberguggenberger M. , Pilipovic S.
| | MSC-class: 46F30; 35D10
| | Journal: Trans. Am. Math. Soc., Vol. 358, 2006 | | ArXive: math.AP/0303248 |
[START Homepage | Project Description | Publications | Theses]
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