Klein-Gordon Equations on Modulation Spaces

We consider the Cauchy problem for a family of Klein-Gordon equations with initial data in modulation spaces Mp,1a. We develop the well-posedness, blowup criterion, stability of regularity, scattering theory, and stability theory.

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Main Authors: Guoping Zhao, Jiecheng Chen, Weichao Guo
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/947642
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author Guoping Zhao
Jiecheng Chen
Weichao Guo
author_facet Guoping Zhao
Jiecheng Chen
Weichao Guo
author_sort Guoping Zhao
collection DOAJ
description We consider the Cauchy problem for a family of Klein-Gordon equations with initial data in modulation spaces Mp,1a. We develop the well-posedness, blowup criterion, stability of regularity, scattering theory, and stability theory.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-e346878e9c224a7091d271d0143578cc2025-02-03T01:10:16ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/947642947642Klein-Gordon Equations on Modulation SpacesGuoping Zhao0Jiecheng Chen1Weichao Guo2Department of Mathematics, Zhejiang University, Hangzhou 310027, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaDepartment of Mathematics, Xiamen University, Xiamen 361005, ChinaWe consider the Cauchy problem for a family of Klein-Gordon equations with initial data in modulation spaces Mp,1a. We develop the well-posedness, blowup criterion, stability of regularity, scattering theory, and stability theory.http://dx.doi.org/10.1155/2014/947642
spellingShingle Guoping Zhao
Jiecheng Chen
Weichao Guo
Klein-Gordon Equations on Modulation Spaces
Abstract and Applied Analysis
title Klein-Gordon Equations on Modulation Spaces
title_full Klein-Gordon Equations on Modulation Spaces
title_fullStr Klein-Gordon Equations on Modulation Spaces
title_full_unstemmed Klein-Gordon Equations on Modulation Spaces
title_short Klein-Gordon Equations on Modulation Spaces
title_sort klein gordon equations on modulation spaces
url http://dx.doi.org/10.1155/2014/947642
work_keys_str_mv AT guopingzhao kleingordonequationsonmodulationspaces
AT jiechengchen kleingordonequationsonmodulationspaces
AT weichaoguo kleingordonequationsonmodulationspaces