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hal-00004903, version 1

On generalized Sobolev algebras and their applications.

Séverine Bernard () 1, Silvère Paul Nuiro 2

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.

  • 1:  Analyse Optimisation Controle (AOC)
  • Université des Antilles et de la Guyane
  • 2:  Groupe de Recherche en Informatique et Mathématiques Appliquées Antilles-Guyane (GRIMAAG)
  • Université des Antilles et de la Guyane
  • Domain : Mathematics/General Mathematics
  • Keywords : Nonlinear degenerate Dirichlet problem – Generalized solution – Sobolev algebra – Non positive solution.
  • Comment : To appear in TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS (16 pages).
 
  • hal-00004903, version 1
  • http://hal.archives-ouvertes.fr/hal-00004903
  • oai:hal.archives-ouvertes.fr:hal-00004903
  • From: Séverine Bernard <>
  • Submitted on: Wednesday, 11 May 2005 16:24:36
  • Updated on: Wednesday, 11 May 2005 20:35:27