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The initial value problems for quasi-linear wave equations in two space dimensions with small data
| Title: | The initial value problems for quasi-linear wave equations in two space dimensions with small data |
| Authors: | Hoshiga, Akira Browse this author |
| Issue Date: | Dec-1992 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 176 |
| Start Page: | 2 |
| End Page: | 25 |
| Abstract: | The present paper studies the lifespan of solutions to quasi-linear wave equations in two space dimensions. We shall show a lower bound for the lifespan. We shall also show that if the non-linear term satisfies "nullcondition", the equations have global solutions. Our basic idea is to solve ordinary differential equations which are constructed from wave equations. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68922 |
| 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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