[47] Modeling Schrödinger equation diffraction with generalized function potentials and initial values,
with Lj. Oparnica and Ch. Spreitzer
to appear in Rep. Math. Phys. 96(2), 159-187 (2025),
Preprint at arxiv: arXiv:2212.08497 [math-ph]
[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', 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.
