Analyse algébrique d'un probléme de Dirichlet non linéaire et singulier

Jean-Andre Marti, Silvère P. Nuiro

DOI: http://dx.doi.org/10.12775/TMNA.1999.016

Abstract


The algebraic structure of a factor ring and the topological structure of a
semi-normed algebra permit the construction of many algebras of generalized
functions. Some of them are well suitable to solve a non linear Dirichlet
problem with irregular data.

Keywords


nonlinear Dirichlet problem; algebras of generalized functions; generalized solution

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