Self-Similar Solutions of a Nonlinear Heat Equation

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概要

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• In this paper, we study the asymptotic behavior of certain solutions of the nonlinear heat equation $u_t-\Laplacian u+|u|^α u=0$ in $(0,\infty ) × \hbox{\ens R}^N $, where $α >0$. We focus especially on solutions that may change sign and that do not necessarily have a radial behavior as $|x|\to \infty $.

• 東京大学の論文

著者

• Cazenave Thierry

  Analyse Numerique Universite Pierre Et Marie Curie

• Dickstein Flavio

  Instituto de Matematica,Universidade Federal do Rio de Janeiro

• Escobedo Miguel

  Departamento de Matematicas,Universidad del Pais Vasco

• Weissler Fred

  LAGA,Institut Galilee-Universite Paris XIII

• Weissler Fred

  Laga Institut Galilee-universite Paris Xiii

• Escobedo Miguel

  Departamento De Matematicas Universidad Del Pais Vasco

• Dickstein Flavio

  Instituto De Matematica Universidade Federal Do Rio De Janeiro

• Miguel Escobedo

  Departamento de Matematicas,Universidad del Pais Vasco

関連論文

• Self-Similar Solutions of a Nonlinear Heat Equation

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