Weighted Strichartz estimates and existence of self-similar solutions for semilinear wave equations

Kato, Jun; Ozawa, Tohru

Hokkaido University Preprint Series in Mathematics, 2003, 602, 1-15

Permalink : https://doi.org/10.14943/83747

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DOI	https://doi.org/10.14943/83747
URI	https://hdl.handle.net/2115/69351
タイトル	Weighted Strichartz estimates and existence of self-similar solutions for semilinear wave equations
著者	著者名 Kato, Jun
著者	著者名 Ozawa, Tohru
言語	英語
発行日	2003
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	602
ページ	1-15
抄録	We study the existence of self-similar solutions to the Cauchy problem for semilinear wave equations with power type nonlinearity. Radially symmetric self-similar solutions are obtained in odd space dimensions when the power is greater than the critical one that are widely referred to in other existence problems of global solutions to nonlinear wave equations with small data. This result is a partial generalization of [11] to odd space dimensions. To construct self-similar solutions, we prove the weighted Strichartz estimates in terms of weak Lebesgue spaces over space-time.
資源タイプ	紀要論文
出版タイプ	Version of Record