2007年7月
Morawetz-Strichartz estimates for spherically symmetric solutions to wave equations and applications to semilinear Cauchy problems
Differential and Integral Equations
- 巻
- 20
- 号
- 7
- 開始ページ
- 735
- 終了ページ
- 754
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- 出版者・発行元
- KHAYYAM PUBL CO INC
We prove some space-time estimates with homogeneous weight functions for the wave equation with radially symmetric data in order to explain a connection between the Morawetz-type space-time estimate and the Strichartz-type space-time estimate. As an application of such linear estimates, we give a new proof of global existence of small radial solutions to semilinear wave equations. Local existence of radial solutions is also studied for low-regularity data.
- リンク情報
- ID情報
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- ISSN : 0893-4983
- Web of Science ID : WOS:000208719700002