Almost global existence for nonlinear wave equations in an exterior domain in two space dimensions |
| |
| Authors: | Hideo Kubo |
| |
| Affiliation: | 1. Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan;2. Department of Mathematics, Faculty of Sciences, Hokkaido University, Sapporo 060-0810, Japan1 |
| |
| Abstract: | In this paper we deal with the exterior problem for a system of nonlinear wave equations in two space dimensions, assuming that the initial data is small and smooth. We establish the same type of lower bound of the lifespan for the problem as that for the Cauchy problem, despite of the weak decay property of the solution in two space dimensions. |
| |
| Keywords: | 35L70 35L20 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
