Generalized Solutions of a Nonlinear Parabolic Equation with Generalized Functions as Initial Data

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dc.creatorAragona, Jorge
dc.creatorGarcia, Antonio Ronaldo Gomes
dc.creatorJuriaans, Stanley Orlando
dc.date2008-09-23
dc.date.accessioned2026-07-07T10:04:37Z
dc.date.available2026-07-07T10:04:37Z
dc.descriptionIn \cite{bf} Brézis and Friedman prove that certain nonlinear parabolic equations, with the $δ$-measure as initial data, have no solution. However in \cite{cl} Colombeau and Langlais prove that these equations have a unique solution even if the $δ$-measure is substituted by any Colombeau generalized function of compact support. Here we generalize Colombeau and Langlais their result proving that we may take any generalized function as the initial data. Our approach relies on resent algebraic and topological developments of the theory of Colombeau generalized functions and results from \cite{A}.
dc.identifierhttps://arxiv.org/abs/0809.3837
dc.identifierhttp://arxiv.org/abs/0809.3837
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169741
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.titleGeneralized Solutions of a Nonlinear Parabolic Equation with Generalized Functions as Initial Data
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