Persistence properties for a family of nonlinear partial differential equations

被引：47

作者：

Henry, David ^{[1
]}

机构：

[1] Trinity Coll Dublin, Sch Math, Dublin 2, Ireland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 04期

基金：

爱尔兰科学基金会;

关键词：

b-equations; Persistence of decay rates; Compactly-supported solutions; DEGASPERIS-PROCESI EQUATION; CAMASSA-HOLM EQUATION; SHALLOW-WATER EQUATION; COMPACTLY SUPPORTED SOLUTIONS; BLOW-UP PHENOMENA; DISCONTINUOUS SOLUTIONS; DIFFEOMORPHISM GROUP; INTEGRABLE EQUATION; PEAKON SOLUTIONS; GEODESIC-FLOW;

D O I：

10.1016/j.na.2008.02.104

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We examine the persistence of decay properties for a family of dispersive nonlinear partial differential equations. We show that certain decay properties of the initial data persist for as long as the solution exists. On the other hand, for a Subset of the family certain decay rates are possible only for the trivial solution. For example, the only solution that remains with compact Support for any further time is the trivial Solution. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1565 / 1573

页数：9

共 41 条

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