ASYMPTOTICS FOR MODEL NONLINEAR NONLOCAL EQUATIONS

被引：0

作者：

Havase, Nakao ^{[1
]}

Kaikina, Elena I. ^{[2
]}

Naumkin, Pavel I. ^{[3
]}

Sanchez-Suarez, Isahi

机构：

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

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

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

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2005年 / 18卷 / 11期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Cauchy problem for the model nonlinear equation [GRAPHICS] where sigma > 0, lambda is an element of R. We are interested in the critical and subcritical powers of the nonlinearity, especially in the case of large initial data co frorn L-1,L-a boolean AND L-infinity. We prove that the Cauchy problem (0.1) has a unique global solution u is an element of C ([0, infinity); L-infinity boolean AND L-1,L-a) and obtain the large time asymptotics.

引用

页码：1273 / 1298

页数：26

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