DISSIPATIVITY OF BOUNDARY CONDITION IN A MIXED PROBLEM FOR THE THREE-DIMENSIONAL WAVE EQUATION

被引：1

作者：

Gordienko, V. M. ^{[1
,2
]}

机构：

[1] RAS, Inst Math SL Soboleva, SB, Ave Academician Koptyug 4, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Novosibirsk 630090, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2013年 / 10卷

关键词：

wave equation; mixed problem; symmetric hyperbolic system; dissipative boundary condition;

D O I：

10.17377/semi.2013.10.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a mixed problem for the real three-dimensional wave equation satisfying the uniform Lopatinskii condition. We describe all feasible ways of reduction of the problem to the mixed problem for the symmetric hyperbolic system with the dissipative boundary condition. These ways are patametrized by points of the upper part of a four-dimensional bodily cone of the second order. We characterize the cone location and its geometric parameters by means of the coefficients of the boundary condition in the problem under consideration.

引用

页码：311 / 323

页数：13

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