Claudia Garetto
Claudia Garetto
School of Mathematics, Loughborough University
Verified email at lboro.ac.uk
TitleCited byYear
Topological Structures in Colombeau Algebras: Topological -modules and Duality Theory
C Garetto
Acta Applicandae Mathematica 88 (1), 81-123, 2005
792005
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
692005
Topological Structures in Colombeau Algebras: Investigation of the Duals of , and
C Garetto
Monatshefte für Mathematik 146 (3), 203-226, 2005
662005
Pseudodifferential operators with generalized symbols and regularity theory.
C Garetto, T Gramchev, M Oberguggenberger
Electronic Journal of Differential Equations (EJDE)[electronic only] 2005 …, 2005
652005
Pseudo-differential operators in algebras of generalized functions and global hypoellipticity
C Garetto
Acta Applicandae Mathematica 80 (2), 123-174, 2004
492004
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
312015
Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity
C Garetto
New York J. Math 12 (3), 275-318, 2006
272006
Generalized oscillatory integrals and Fourier integral operators
C Garetto, G Hörmann, M Oberguggenberger
Proceedings of the Edinburgh Mathematical Society 52 (2), 351-386, 2009
242009
Wave equation for sums of squares on compact Lie groups
C Garetto, M Ruzhansky
Journal of Differential Equations 258 (12), 4324-4347, 2015
212015
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
202006
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
192011
Weakly hyperbolic equations with non-analytic coefficients and lower order terms
C Garetto, M Ruzhansky
Mathematische Annalen 357 (2), 401-440, 2013
182013
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
172012
Critical percolation on certain nonunimodular graphs
Y Peres, G Pete, A Scolnicov
New York J. Math 12, 1-18, 2006
172006
Generalized Fourier integral operators on spaces of Colombeau type
C Garetto
New developments in pseudo-differential operators, 137-184, 2008
152008
Closed graph and open mapping theorems for topological ̃\lc‐modules and applications
C Garetto
Mathematische Nachrichten 282 (8), 1159-1188, 2009
132009
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
102014
Fundamental solutions in the Colombeau framework: applications to solvability and regularity theory
C Garetto
Acta Applicandae Mathematicae 102 (2-3), 281-318, 2008
92008
Symmetrisers and generalised solutions for strictly hyperbolic systems with singular coefficients
C Garetto, M Oberguggenberger
Mathematische Nachrichten 288 (2-3), 185-205, 2015
72015
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
72014
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Articles 1–20