Nonlinear evolution equations with a fractional derivative on a half-line

被引：2

作者：

Kaikina, Elena I. ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Morelia 58089, Michoacan, Mexico

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 3-4期

关键词：

Dissipative nonlinear evolution equation; Large time asymptotics; Fractional derivative; LARGE TIME BEHAVIOR; SEMILINEAR PARABOLIC EQUATION; VISCOUS CONSERVATION-LAWS; BURGERS-EQUATION; CRITICAL EXPONENTS; WAVES; ASYMPTOTICS; STABILITY;

D O I：

10.1016/j.na.2008.10.106

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the initial-boundary value problem on a half-line for the nonlinear evolution equations with a fractional derivative. We study traditionally important problems of a theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial-boundary value problem and the asymptotic behavior of solutions for large time. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：766 / 781

页数：16

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