[41] Generalized solutions and distributional shadows for Dirac equations,
with Ch. Spreitzer
in Analysis, Probability, Applications, and Computation, "Trends in Mathematics, Research Perspectives", Birkhäuser 2019, pp. 419-428,
https://doi.org/10.1007/978-3-030-04459-6,
Preprint at arxiv: arXiv:1712.09690 [math-ph]
[38] Limits of regularizations for generalized function solutions to the
Schrödinger equation with "square root of delta" initial value, J. Fourier Anal. Appl. 24(4), 1160-1179 (2018), https://doi.org/10.1007/s00041-017-9548-4, Preprint at arxiv: arXiv:1612.09055 [math.FA]
[37] Variational formulation of the earth's elastic-gravitational
deformations under low regularity conditions,
with K. Brazda and M. V. de Hoop
Lecture Notes in Mathematical Geophysics,
available at arxiv: arXiv:1702.04741 [math-ph]
[31] Wave equations and symmetric first-order systems in the case of low
regularity,
with C. Hanel, Ch. Spreitzer, and R. Steinbauer
in Operator Theory:
Advances and Applications, volume 231, Birkhaeuser 2013, pp.
273-286, Preprint at arxiv: arXiv:1202.0406 [math.AP]
[30] The wave equation with a discontinuous coefficient depending on time only: generalized solutions and propagation of singularities,
with H. Deguchi and M. Oberguggenberger
in Operator Theory:
Advances and Applications, volume 231, Birkhaeuser 2013, pp.
313-329, Preprint at arxiv: arXiv:1202.1134v1 [math.AP]
[29] Symmetric hyperbolic systems in algebras of generalized functions
and distributional limits,
with C. Spreitzer J. Math. Anal. Appl. 388, 1166-1179 (2012), Preprint at arxiv: arXiv:1107.5967 [math.AP]
[28] Wave equations on non-smooth space-times,
with M. Kunzinger and R. Steinbauer
in Evolution Equations of Hyperbolic and
Schrödinger Type, Progress in Mathematics, volume 301, Birkhaeuser 2012, pp.
163-186 ,
Preprint at arxiv: arXiv:1107.0014 [math.AP]
[27] Geometric regularization on Riemannian and Lorentzian manifolds,
with S. Dave and M. Kunzinger
in Evolution Equations of Hyperbolic and
Schrödinger Type, Progress in Mathematics, volume 301, Birkhaeuser 2012, pp.
87-102,Preprint at arxiv: arXiv:1107.0010 [math.FA]
[26] Generalized solutions for the Euler-Bernoulli model with Zener viscoelastic foundations and distributional forces,
with S. Konjik and Lj. Oparnica Analysis and Applications 11, (2013), 1350017, Preprint at arxiv: arXiv:1102.2148 [math.AP]
[25] Optimal regularization processes on complete Riemannian
manifolds,
with S. Dave and M. Kunzinger Tokyo Jour. Math. 36, 25-47 (2013), Preprint at arxiv: arXiv:1003.3341 [math.FA]
[24] The Cauchy problem for Schrödinger-type partial differential operators with generalized functions in the principal part and as data, Monatsh. Math. 163, 445-460 (2011), Preprint at arxiv: arXiv:0909.5672 [math.FA]
[23] Generalized solutions for the Euler-Bernoulli model with distributional forces,
with Lj. Oparnica J. Math. Anal. Appl. 357, 142-153 (2009),
Preprint at arxiv: arXiv:0812.1958 [math.FA]
[22] Comparison of some solution concepts for linear first-order hyperbolic differential equations with non-smooth coefficients,
with Simon Haller Publ. de l'Inst. Math. 84 (98), 123-157 (2008),
Preprint: arXiv:0712.1669 [math.AP]
[21] Generalized oscillatory integrals and Fourier integral operators,
with C. Garetto and M. Oberguggenberger Proc. Edinb. Math. Soc. 52, 351-386 (2009),
Preprint at arxiv: math.AP/0607706
[20] Distributional solution concepts for the Euler-Bernoulli beam equation
with discontinuous coefficients,
with Lj. Oparnica Applicable Analysis 86, 1347-1363 (2007),
Preprint at arxiv: math/0606058
[19] On duality theory and pseudodifferential techniques for Colombeau
algebras: generalized delta functionals, kernels and wave front sets,
with C. Garetto Bull. Acad. Serbe Cl. Sci.,31, 115-136 (2006),
Preprint,
arxiv: math.FA/0507222
[18] Fourier-integral operator approximation of solutions to
first-order hyperbolic pseudodifferential equations II:
microlocal analysis,
with J. Le Rousseau Jour. Math. Pures Appliquees 86, 403-426 (2006),
preprint
[17] Evolution systems for paraxial wave equations of
Schrödinger-type with non-smooth coefficients,
with M. de Hoop and M. Oberguggenberger Jour. Diff. Equs. 245 (2008), 1413-1432,
Preprint at arxiv: math.AP/0506410
[16] Microlocal analysis of generalized functions: pseudodifferential techniques
and propagation of singularities ,
with C. Garetto Proc. Edinb. Math. Soc. 48, 603-629 (2005),
Preprint at arxiv:math.AP/0401397
[15] Microlocal hypoellipticity of linear partial differential operators with
generalized functions as coefficients,
with M. Oberguggenberger and S. Pilipovic Trans. Amer. Math. Soc. 358, 3363-3383 (2006)(
Abstract),
Preprint at arxiv:math.AP/0303248
[14] Elliptic regularity and solvability for partial differential equations with
Colombeau coefficients,
with M. Oberguggenberger Electr. Jour. Diff. Equ., Vol. 2004, 1-30 ,
Retrieve:
directly from EJDE
[13] First order hyperbolic pseudodifferential equations with generalized symbols, J. Math. Anal. Appl. 293, 40-56 (2004),
Preprint at arxiv:math.AP/0307406
[12] Hölder-Zygmund regularity in algebras of generalized functions, Z. Anal. Anwendungen 23, 139-165 (2004),
Preprint at arxiv:math.AP/0112222
[11] Geophysical modeling with Colombeau functions: Microlocal properties and
Zygmund regularity,
with M. V. de Hoop in 'Nonlinear Algebraic Analysis and Applications, Proceedings of the
International Conference on Generalized Functions (ICGF 2000)',
eds. A. Delcroix, M. Hasler, J.-A. Marti,
V. Valmorin, Cambridge Scientific Publishers, Cambridge, 2004 Preprint at arxiv:math.AP/0104007
[10] Detection of wave front set perturbations via correlation: Foundation for
wave-equation tomography,
with M. V. de Hoop Appl. Anal. 81, 1443-1465 (2002),
Preprint at arxiv:math-ph/0104003
[9] A note on representations of the finite Heisenberg group and sums of greatest
common divisors,
with J. Grassberger Discrete Math. Theor. Comput. Sci. 4, 91-100 (2001),
Retrieve:directly from DMTCS
[8] Semilinear hyperbolic systems with singular nonlocal boundary conditions:
reflection of singularities and delta-waves ,
with I. Kmit Z. Anal. Anwendungen 20, 637-659 (2001)
[7] Microlocal analysis and global solutions of some hyperbolic equations with
discontinuous coefficients,
with M. V. de Hoop Acta Appl. Math. 67, 173-224 (2001) ( Preprint version )
[6] Microlocal properties of basic operations in Colombeau algebras,
with M. Kunzinger J. Math. Anal. Appl. 261, 254-270 (2001),
Preprint at arxiv:math.FA/0008206
[5] Regularized derivatives in a 2-dimensional model of self-interacting fields
with singular data,
with M. Kunzinger Z. Anal. Anwendungen 19, 147-158 (2000),
Preprint at arxiv:math.AP/9912219
[4] Integration and microlocal analysis in Colombeau algebras, J. Math. Anal. Appl. 239, 332-348 (1999)
( Preprint version and errata )
[3] Nonlinearity and self-interaction in physical field theories with
singularities,
with M. Kunzinger Integral Transform Spec. Funct. 6, 205-214 (1998)
[2] Regular Weyl-systems and smooth structures on Heisenberg groups, Commun. Math. Phys. 184, 51-63 (1997)
[1] Galilei invariant molecular dynamics,
with C. Jaekel Publ. Res. Inst. Math. Sci. 31, 805-827 (1995)
[0] The Weyl algebra on the two-torus, NTZ/INTSEM Nr. 34 on Entropy and dynamical entropy in mathematical physics,
August 1991, University of Leipzig,
Preprint version
[-1] Representations of the infinite dimensional Heisenberg group,
Dissertation, Universität Wien 1993.
[-2] Darstellungen der Weyl-Relationen,
Diplomarbeit, Universität Wien 1991.
