Large Time Behavior of Small Solutions to Dirichlet Problem for Landau-Ginzburg Type Equations

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概要

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• We study the Dirichlet problem for nonlinear dissipative equations with two power (critical and sub-critical) nonlinearities of parabolic type on half lines. Taking the zero boundary conditions into consideration, we present a sufficient condition which gives sharp time asymptotics of small solutions.

• 日本数学会函数方程式論分科会の論文

著者

• Kaikina Elena

  Instituto Tecnologico De Morelia

• Naumkin Pavel

  México and UNAM

• Hayashi Nakao

  Osaka University

• Ito Naoko

  Tokyo University of Science

関連論文

• Analytic Smoothing Effect for the Benjamin-Ono Equations (Studies on structure of solutions of nonlinear PDEs and its analytical methods)
• Almost Global Existence of Solutions to the Kadomtsev-Petviashvili Equations
• Asymptotics in Time of Solutions to Nonlinear Schroedinger Equations in Two Space Dimensions
• Large Time Behavior of Small Solutions to Dirichlet Problem for Landau-Ginzburg Type Equations

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