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|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
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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