A generalization of the weighted Strichartz estimates for wave equations large and an application to self-similar solutions

Kato, Jun; Nakamura, Makoto; Ozawa, Tohru

Hokkaido University Preprint Series in Mathematics, 2005, 708, 1-20

Permalink : https://doi.org/10.14943/83859

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DOI	https://doi.org/10.14943/83859
URI	https://hdl.handle.net/2115/69513
タイトル	A generalization of the weighted Strichartz estimates for wave equations large and an application to self-similar solutions
著者	Kato, Jun ; Nakamura, Makoto ; Ozawa, Tohru
著者名 Kato, Jun
著者名 Nakamura, Makoto
著者名 Ozawa, Tohru
言語	英語
発行日	2005
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	708
ページ	1-20
抄録	Weighted Strichartz estimates with homogeneous weights with critical exponents are proved for the wave equation without support restriction on the forcing term. The method of proof is based on the expansion by spherical harmonics and on the Sobolev space over the unit sphere, by which the required estimates are reduced to the radial case. As an application of the weighted Strichartz estimates, the existence and uniqueness of self-similar solutions to nonlinear wave equations is proved up to 5 space dimensions.
資源タイプ	紀要論文
出版タイプ	Version of Record