Nonuniform dependence and persistence properties for a two-component Novikov system

Considered herein is the Cauchy problem for a two-component Novikov system. With the application of the method of approximate solutions, we first prove that the solution map of this problem is not uniformly continuous in . Then, we investigate the persistence properties, which implies that the stron...

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Bibliographic Details
Published inApplicable analysis Vol. 97; no. 14; pp. 2450 - 2473
Main Author Yu, Shengqi
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 26.10.2018
Taylor & Francis Ltd
Subjects
Cauchy problems
Dependence
nonuniform dependence
persistence
Two-component Novikov system
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Summary:Considered herein is the Cauchy problem for a two-component Novikov system. With the application of the method of approximate solutions, we first prove that the solution map of this problem is not uniformly continuous in . Then, we investigate the persistence properties, which implies that the strong solutions of this problem will decay at infinity in the spatial variable provided that the initial data does.
ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2017.1376247