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On generalized Sobolev algebras and their applications

Séverine Bernard·Silvère Paul Nuiro
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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.

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Séverine Bernard, Silvère Paul Nuiro. 2005-05-11. On generalized Sobolev algebras and their applications. https://arxiv.org/abs/math/0505228

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