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Remark on the scattering problem for the Klein-Gordon equation with power nonlinearity
Title: | Remark on the scattering problem for the Klein-Gordon equation with power nonlinearity |
Authors: | Sasaki, Hironobu Browse this author |
Keywords: | Klein-Gordon equation | scattering | power nonlinearity |
Issue Date: | 2007 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 831 |
Start Page: | 1 |
End Page: | 17 |
Abstract: | We consider the scattering problem for the nonlinear Klein-Gordon equation. The nonlinear term of the equation behaves like a power term. We show that we can define the scattering operator on a suitable 0-neighborhood of the weighted Sobolev space, which improves the known results in some sense. Our proof is based on the Strichartz type estimates. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69640 |
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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