On a system of semirelativistic equations in the energy space

Kazumasa Fujiwara; Shuji Machihara; Tohru Ozawa

doi:10.3934/cpaa.2015.14.1343

On a system of semirelativistic equations in the energy space

Kazumasa Fujiwara, Shuji Machihara, Tohru Ozawa

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

Well-posedness of the Cauchy problem for a system of semirelativistic equations is shown in the energy space. Solutions are constructed as a limit of an approximate solutions. A Yudovitch type argument plays an important role for the convergence arguments.

Original language	English
Pages (from-to)	1343-1355
Number of pages	13
Journal	Communications on Pure and Applied Analysis
Volume	14
Issue number	4
DOIs	https://doi.org/10.3934/cpaa.2015.14.1343
Publication status	Published - 2015 Jul 1

Keywords

Compactness argument
Quadratic nonlinearity
Semirelativistic equation
Well-posedness
Yudovitch argument

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.3934/cpaa.2015.14.1343

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title = "On a system of semirelativistic equations in the energy space",

abstract = "Well-posedness of the Cauchy problem for a system of semirelativistic equations is shown in the energy space. Solutions are constructed as a limit of an approximate solutions. A Yudovitch type argument plays an important role for the convergence arguments.",

keywords = "Compactness argument, Quadratic nonlinearity, Semirelativistic equation, Well-posedness, Yudovitch argument",

author = "Kazumasa Fujiwara and Shuji Machihara and Tohru Ozawa",

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AU - Machihara, Shuji

AU - Ozawa, Tohru

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Y1 - 2015/7/1

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KW - Semirelativistic equation

KW - Well-posedness

KW - Yudovitch argument

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On a system of semirelativistic equations in the energy space

Abstract

Keywords

ASJC Scopus subject areas

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