Regular rapidly decreasing nonlinear generalized functions. Application to microlocal regularity

MICROLOCAL ANALYSIS OF GENERALIZED FUNCTIONS: PSEUDODIFFERENTIAL TECHNIQUES AND PROPAGATION OF SINGULARITIES

Claudia Garetto, Günther Hörmann · Proceedings of the Edinburgh Mathematical Society · 2005 · 74 citations · Full text

Natural Sciences, Mathematics, Differential Equations +7

Colombeau's generalized functions: Topological structures, microlocal properties - a simplified point of view - part II

Dimitris Scarpalézos · Publications de l Institut Mathematique · 2004 · 66 citations

Natural Sciences, Mathematics, Topology +3

Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients

Günther Hörmann, Michael Oberguggenberger, Stevan Pilipović · Transactions of the American Mathematical Society · 2005 · 65 citations · Full text

Natural Sciences, Mathematics, Physics +8

Microlocal Analysis and Global Solutions of Some Hyperbolic Equations with Discontinuous Coefficients

Günther Hörmann, Maarten V. de Hoop · Acta Applicandae Mathematicae · 2001 · 57 citations

Natural Sciences, Mathematics, Differential Equations +7

Topology on Asymptotic Algebras of Generalized Functions and Applications

Antoine Delcroix, Dimitris Scarpalézos · Monatshefte für Mathematik · 2000 · 45 citations

Natural Sciences, Mathematics, Algebra +10