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Hokkaido University Preprint Series in Mathematics >
ON THE POINTWISE DECAY ESTIMATE FOR THE WAVE EQUATION WITH COMPACTLY SUPPORTED FORCING TERM
| Title: | ON THE POINTWISE DECAY ESTIMATE FOR THE WAVE EQUATION WITH COMPACTLY SUPPORTED FORCING TERM |
| Authors: | Kubo, Hideo Browse this author |
| Keywords: | Wave equation | | Pointwise decay estimate | | Exterior problem |
| Issue Date: | 18-Oct-2013 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1042 |
| Start Page: | 1 |
| End Page: | 14 |
| Abstract: | In this paper we derive a new type of pointwise decay estimates for solutions to the Cauchy problem for the wave equation in 2D, in the sense that one can diminish the weight in the time variable for the forcing term if it is compactly supported in the spatial variables. As an application of the estimate, we also establish an improved decay estimate for the solution to the exterior problem in 2D. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69846 |
| 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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