Remarks on global solutions to the cauchy problem for semirelativistic equations with power type nonlinearity

Kazumasa Fujiwara, Tohru Ozawa

研究成果: Article査読

4 被引用数 (Scopus)

抄録

Existence and nonexistence results on global solutions to the Cauchy problem for semirelativistic equations are shown by a simple compact- ness argument and a test function method, respectively. To obtain the nonexistence of global solutions, semirelativistic equations are trans- formed into a new equation without nonlocal operators in linear part but with a time derivative in nonlinear part, which is shown to be under control of special choice of test functions.

本文言語English
ページ(範囲)2599-2610
ページ数12
ジャーナルInternational Journal of Mathematical Analysis
9
53-56
DOI
出版ステータスPublished - 2015

ASJC Scopus subject areas

  • Mathematics(all)

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