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[LIVRE][B] Geometric theory of generalized functions with applications to general relativity
M Grosser, M Kunzinger, M Oberguggenberger… - 2013 - books.google.com
Over the past few years a certain shift of focus within the theory of algebras of generalized
functions (in the sense of JF Colombeau) has taken place. Originating in infinite dimensional …
functions (in the sense of JF Colombeau) has taken place. Originating in infinite dimensional …
A nonlinear Goursat problem with irregular data
A nonlinear goursat problem with irregular data Page 1 Integral Transforms and Spectal
Functtons, 01998 OPA (Overseas Publishers Assoc~ation) 1998, Vol. No. pp. Amsterdam BV …
Functtons, 01998 OPA (Overseas Publishers Assoc~ation) 1998, Vol. No. pp. Amsterdam BV …
Generalized solutions of a nonlinear parabolic equation with generalized functions as initial data
In [H. Brézis, A. Friedman, Nonlinear parabolic equations involving measures as initial
conditions, J. Math. Pure Appl.(9)(1983) 73–97.] Brézis and Friedman prove that certain …
conditions, J. Math. Pure Appl.(9)(1983) 73–97.] Brézis and Friedman prove that certain …
Microlocal analysis of Colombeau's generalized functions: propagation of singularities
We introduce the notion of pointwise regularity (̇ G^ ∞) of Colombeau's generalized
functions and give comparison theorems between ̇ G^ ∞ regularity, G^ ∞-and C∞ …
functions and give comparison theorems between ̇ G^ ∞ regularity, G^ ∞-and C∞ …
Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity
C Garetto - arxiv preprint math/0511297, 2005 - arxiv.org
We introduce different notions of wave front set for the functionals in the dual of the
Colombeau algebra $\Gc (\Om) $ providing a way to measure the $\G $ and the $\Ginf …
Colombeau algebra $\Gc (\Om) $ providing a way to measure the $\G $ and the $\Ginf …
Analyse algébrique d'un problème de Dirichlet non linéaire et singulier
JA Marti, SP Nuiro - 1999 - projecteuclid.org
ANALYSE ALGÉBRIQUE D’UN PROBL`EME DE DIRICHLET NON LINÉAIRE ET
SINGULIER J.-A. Marti — SP Nuiro 1. Introduction Si E es Page 1 Topological Methods in …
SINGULIER J.-A. Marti — SP Nuiro 1. Introduction Si E es Page 1 Topological Methods in …
𝒢 L -microlocal analysis of generalized functions
JA Marti - Integral Transforms and Special Functions, 2006 - Taylor & Francis
The CL classes including analytic and Gevrey ones are the basis of a microlocal analysis
developed by Hörmander and refining the C∞ one. To extend this analysis to the framework …
developed by Hörmander and refining the C∞ one. To extend this analysis to the framework …
Sur les singularités de certains problèmes différentiels
V Devoue - 2005 - theses.hal.science
Dans cette thèse nous proposons une méthode pour résoudre certains problèmes de
Cauchy à données irrégulières ou caractéristiques en utilisant les récentes théories des …
Cauchy à données irrégulières ou caractéristiques en utilisant les récentes théories des …
Local and Microlocal Analysis in the Space of Colombeau Generalized Functions
S PilipoviĆ - Nonlinear Theory of Generalized Functions, 2022 - taylorfrancis.com
Local and microlocal properties of distributions, ultradistributions and hyperfunctions have
been extensively studied in the last three decades. The applications were made in the …
been extensively studied in the last three decades. The applications were made in the …
[PDF][PDF] A global construction of algebras of generalized functions
V Valmorin - Università e Politecnico di Torino, 2012 - researchgate.net
An original method for the construction of algebras of generalized functions is given, which
covers both Colombeau simplified algebras and Rosinger algebras cases, the main used …
covers both Colombeau simplified algebras and Rosinger algebras cases, the main used …