Decay estimates of solutions to wave equations in conical sets

被引：0
|
作者：
Dreher, Michael [1 ]
机构：
[1] Univ Konstanz, Dept Math & Stat, D-78457 Constance, Germany
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 32卷 / 03期
关键词：
decay estimates; fractional integrals; representation of solution;
D O I：
10.1080/03605300600718586
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the wave equation in an unbounded conical domain, with initial conditions and boundary conditions of Dirichlet or Neumann type. We give a uniform decay estimate of the solution in terms of weighted Sobolev norms of the initial data. The decay rate is the same as in the full space case.
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页码：477 / 501
页数：25
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