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A generalization of the weighted Strichartz estimates for wave equations and an application to self-similar solutions
| Title: | A generalization of the weighted Strichartz estimates for wave equations and an application to self-similar solutions |
| Authors: | Kato, Jun Browse this author | | Nakamura, Makoto Browse this author | | Ozawa, Tohru Browse this author |
| Issue Date: | Feb-2007 |
| Publisher: | Wiley Periodicals, Inc. |
| Journal Title: | Communications on Pure and Applied Mathematics |
| Volume: | 60 |
| Issue: | 2 |
| Start Page: | 164 |
| End Page: | 186 |
| Publisher DOI: | 10.1002/cpa.20133 |
| Abstract: | Weighted Strichartz estimates with homogeneous weights with critical exponents are proved for the wave equation without a support restriction on the forcing term. The method of proof is based on 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 are proved on up to five space dimensions. © 2006 Wiley Periodicals, Inc. |
| Rights: | Copyright © 2006 Wiley Periodicals, Inc., Communications on Pure and Applied Mathematics, volume 60, issue 2, pp. 164-186 |
| Relation: | http://www.interscience.wiley.com/ |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/17152 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 小澤 徹
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