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Hokkaido University Preprint Series in Mathematics >
Small data scattering for the Klein-Gordon equation with cubic convolution nonlinearity
| Title: | Small data scattering for the Klein-Gordon equation with cubic convolution nonlinearity |
| Authors: | Sasaki, Hironobu Browse this author |
| Keywords: | Global existence | | asymptotic behavior | | scattering | | Klein-Gordon equation | | cubic convolution |
| Issue Date: | 2005 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 745 |
| Start Page: | 1 |
| End Page: | 11 |
| Abstract: | We consider the scattering problem for the Klein-Gordon equation with cubic convolution nonlinearity. We give some estimates for the nonlinearity, and prove the existence of the scattering operator, which improves the known results in some sense. Our proof is based on the Strichartz estimates for the inhomogeneous Klein-Gordon equation. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69553 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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