On generalized Sobolev algebras and their applications
Functional Analysis
2016-08-16 v1
Abstract
In the last two decades, many algebras of generalized functions have been constructed, particularly the so-called generalized Sobolev algebras. Our goal is to study the latter and some of their main properties. In this framework, we pose and solve a nonlinear degenerated Dirichlet problem with irregular data such as Dirac generalized functions.
Cite
@article{arxiv.math/0505228,
title = {On generalized Sobolev algebras and their applications},
author = {Séverine Bernard and Silvère Paul Nuiro},
journal= {arXiv preprint arXiv:math/0505228},
year = {2016}
}
Comments
To appear in "Topological Methods in Nonlinear Analysis" (16 pages)