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

Nakao Hayashi; Naoko Ito; Elena I. Kaikina; Pavel I. Naumkin

doi:10.1619/fesi.47.479

Funkcialaj Ekvacioj

Print ISSN : 0532-8721

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

Nakao Hayashi, Naoko Ito, Elena I. Kaikina, Pavel I. Naumkin

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Keywords: Dissipative nonlinear evolution equation, Large time asymptotics, Landau-Ginzburg equation, Dirichlet problem

JOURNAL FREE ACCESS

2004 Volume 47 Issue 3 Pages 479-497

DOI https://doi.org/10.1619/fesi.47.479

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Abstract

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.

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