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Type: Artigo
Title: Existence and multiplicity of self-similar solutions for heat equations with nonlinear boundary conditions
Author: Ferreira, Lucas C. F.
Furtado, Marcelo F.
Medeiros, Everaldo S.
Abstract: This paper is concerned with self-similar solutions in the half-space for linear and semilinear heat equations with nonlinear boundary conditions. Existence, multiplicity and positivity of these solutions are analyzed. Self-similar profiles are obtained as solutions of a nonlinear elliptic PDE with drift term and a nonlinear Neummann boundary condition. For that, we employ a variational approach and derive some compact weighted embeddings for the trace operator
Subject: Comportamento assintótico de soluções
Equações parabólicas quase-lineares
Country: Alemanha
Editor: Springer
Rights: Fechado
Identifier DOI: 10.1007/s00526-015-0931-1
Date Issue: 2015
Appears in Collections:IMECC - Artigos e Outros Documentos

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