首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Two dimensional exterior mixed problem for semilinear damped wave equations
Authors:Ryo Ikehata
Institution:Department of Mathematics, Graduate School of Education, Hiroshima University, Higashi-Hiroshima 739-8524, Japan
Abstract:We consider two dimensional exterior mixed problems for a semilinear damped wave equation with a power type nonlinearity p|u|. For compactly supported initial data, which have a small energy we shall derive global in time existence results in the case when the power of the nonlinearity satisfies 2<p<+∞. This generalizes a previous result of J. Differential Equations 200 (2004) 53-68], which dealt with a radially symmetric solution.
Keywords:Semilinear damped wave equation  2D exterior domain  Compact support  Small energy  Global existence
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号