| Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients G Hörmann, M Oberguggenberger, S Pilipović Transactions of the American Mathematical Society 358 (8), 3363-3383, 2006 | 75 | 2006 |
| Microlocal analysis of generalized functions: pseudodifferential techniques and propagation of singularities C Garetto, G Hörmann Proceedings of the Edinburgh Mathematical Society 48 (3), 603-629, 2005 | 73 | 2005 |
| Microlocal analysis and global solutions of some hyperbolic equations with discontinuous coefficients G Hörmann, MV de Hoop Acta Applicandae Mathematica 67, 173-224, 2001 | 73 | 2001 |
| Elliptic regularity and solvability for partial differential equations with Colombeau coefficients G Hörmann, M Oberguggenberger arXiv preprint math/0301331, 2003 | 47 | 2003 |
| Microlocal properties of basic operations in Colombeau algebras G Hörmann, M Kunzinger Journal of mathematical analysis and applications 261 (1), 254-270, 2001 | 45 | 2001 |
| Hölder-Zygmund regularity in algebras of generalized functions G Hörmann Zeitschrift für Analysis und ihre Anwendungen 23 (1), 139-165, 2004 | 41 | 2004 |
| First-order hyperbolic pseudodifferential equations with generalized symbols G Hörmann Journal of mathematical analysis and applications 293 (1), 40-56, 2004 | 37 | 2004 |
| Integration and microlocal analysis in Colombeau algebras of generalized functions G Hörmann Journal of mathematical analysis and applications 239 (2), 332-348, 1999 | 34 | 1999 |
| Nonlinear theory of generalized functions M Oberguggenberger, M Grosser, M Kunzinger, G Hormann CRC Press, 1999 | 32 | 1999 |
| A note on representations of the finite Heisenberg group and sums of greatest common divisors J Grassberger, G Hörmann Discrete Mathematics & Theoretical Computer Science 4, 2001 | 29 | 2001 |
| Generalized oscillatory integrals and Fourier integral operators C Garetto, G Hörmann, M Oberguggenberger Proceedings of the Edinburgh Mathematical Society 52 (2), 351-386, 2009 | 26 | 2009 |
| Detection of wave front set perturbations via correlation: foundation for wave-equation tomography G Hörmann, MV De Hoop Applicable Analysis 81 (6), 1443-1465, 2002 | 23 | 2002 |
| Wave equations on non-smooth space-times G Hörmann, M Kunzinger, R Steinbauer Evolution Equations of Hyperbolic and Schrödinger Type: Asymptotics …, 2012 | 22 | 2012 |
| Evolution systems for paraxial wave equations of Schrödinger-type with non-smooth coefficients M de Hoop, G Hörmann, M Oberguggenberger Journal of Differential Equations 245 (6), 1413-1432, 2008 | 21 | 2008 |
| Comparison of some solution concepts for linear first-order hyperbolic differential equations with non-smooth coefficients S Haller, G Hörmann arXiv preprint arXiv:0712.1669, 2007 | 21 | 2007 |
| On duality theory and pseudodifferential techniques for Colombeau algebras: generalized delta functionals, kernels and wave front sets C Garetto, G Hörmann Bulletin (Académie serbe des sciences et des arts. Classe des sciences …, 2006 | 21 | 2006 |
| Discontinuous traveling waves as weak solutions to the Fornberg–Whitham equation G Hörmann Journal of Differential Equations 265 (7), 2825-2841, 2018 | 19 | 2018 |
| Wave breaking of periodic solutions to the Fornberg-Whitham equation G Hoermann arXiv preprint arXiv:1707.05838, 2017 | 18 | 2017 |
| Semilinear hyperbolic systems with singular non-local boundary conditions: reflection of singularities and delta waves I Kmit, G Hörmann Zeitschrift für Analysis und ihre Anwendungen 20 (3), 637-659, 2001 | 17 | 2001 |
| Weak periodic solutions and numerical case studies of the Fornberg-Whitham equation G Hörmann, H Okamoto arXiv preprint arXiv:1807.02320, 2018 | 15 | 2018 |
