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

被引：2

作者：

Hayashi, Nakao ^{[1
]}

Ito, Naoko ^{[2
]}

Kaikina, Elena I. ^{[3
]}

Naumkin, Pavel I. ^{[4
]}

机构：

[1] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5600043, Japan

[2] Tokyo Univ Sci, Fac Sci, Dept Math, Shinjuku Ku, Tokyo 1620827, Japan

[3] Inst Tecnol Morelia, Dept Ciencias Basicas, Morelia 58120, Michoacan, Mexico

[4] UNAM, Inst Matemat, Morelia 58089, Michoacan, Mexico

来源：

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2004年 / 47卷 / 03期

关键词：

Dissipative nonlinear evolution equation; Large time asymptotics; Landau-Ginsburg equation; Dirichlet problem;

D O I：

10.1619/fesi.47.479

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：479 / 497

页数：19

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