| Topological structures in Colombeau algebras: topological-modules and duality theory C Garetto Acta Applicandae Mathematica 88 (1), 81-123, 2005 | 94 | 2005 |
| Hyperbolic second order equations with non-regular time dependent coefficients C Garetto, M Ruzhansky Archive for Rational Mechanics and Analysis 217 (1), 113-154, 2015 | 84 | 2015 |
| Topological structures in Colombeau algebras: investigation of the duals of, and C Garetto Monatshefte für Mathematik 146 (3), 203-226, 2005 | 75 | 2005 |
| 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 | 72 | 2005 |
| Pseudodifferential operators with generalized symbols and regularity theory. C Garetto, T Gramchev, M Oberguggenberger Electronic Journal of Differential Equations (EJDE)[electronic only] 2005 …, 2005 | 69 | 2005 |
| Pseudo-differential operators in algebras of generalized functions and global hypoellipticity C Garetto Acta Applicandae Mathematica 80, 123-174, 2004 | 52 | 2004 |
| Wave equation for sums of squares on compact Lie groups C Garetto, M Ruzhansky Journal of Differential Equations 258 (12), 4324-4347, 2015 | 49 | 2015 |
| Weakly hyperbolic equations with non-analytic coefficients and lower order terms C Garetto, M Ruzhansky Mathematische Annalen 357 (2), 401-440, 2013 | 32 | 2013 |
| Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity C Garetto arXiv preprint math/0511297, 2005 | 31 | 2005 |
| Hilbert ̃ℂ-modules: structural properties and applications to variational problems C Garetto, H Vernaeve Transactions of the American Mathematical Society 363 (4), 2047-2090, 2011 | 28 | 2011 |
| On the wave equation with multiplicities and space-dependent irregular coefficients C Garetto Transactions of the American Mathematical Society 374 (5), 3131-3176, 2021 | 26 | 2021 |
| 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 |
| On the well-posedness of weakly hyperbolic equations with time-dependent coefficients C Garetto, M Ruzhansky Journal of Differential Equations 253 (5), 1317-1340, 2012 | 24 | 2012 |
| 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 |
| Closed graph and open mapping theorems for topological ̃\lc‐modules and applications C Garetto Mathematische Nachrichten 282 (8), 1159-1188, 2009 | 18 | 2009 |
| Generalized Fourier integral operators on spaces of Colombeau type C Garetto New Developments in Pseudo-Differential Operators: ISAAC Group in Pseudo …, 2009 | 16 | 2009 |
| Generalized Fourier integral operator methods for hyperbolic equations with singularities C Garetto, M Oberguggenberger Proceedings of the Edinburgh Mathematical Society 57 (2), 426-463, 2014 | 14 | 2014 |
| A note on weakly hyperbolic equations with analytic principal part C Garetto, M Ruzhansky Journal of Mathematical Analysis and Applications 412 (1), 1-14, 2014 | 14 | 2014 |
| Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I: well-posedness C Garetto, C Jäh, M Ruzhansky Mathematische Annalen 372 (3), 1597-1629, 2018 | 13 | 2018 |
| Symmetrisers and generalised solutions for strictly hyperbolic systems with singular coefficients C Garetto, M Oberguggenberger Mathematische Nachrichten 288 (2-3), 185-205, 2015 | 13 | 2015 |
Michael RuzhanskyProfessor of Mathematics, UGent & QMULVerified email at qmul.ac.uk
