Initial-Boundary Value Problem with a Nonlocal Boundary Condition for a Multidimensional Hyperbolic Equation

被引：10

作者：

Pul'kina, L. S. ^{[1
]}

机构：

[1] Samara State Univ, Samara 443086, Russia

来源：

DIFFERENTIAL EQUATIONS | 2008年 / 44卷 / 08期

关键词：

Generalize Solution; Galerkin Method; Space Variable; Hyperbolic Equation; Schwarz Inequality;

D O I：

10.1134/S0012266108080090

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a mixed initial-boundary value problem for a multidimensional (with respect to the space variables) hyperbolic equation with a nonlocal boundary condition containing an integral of the desired solution. We prove the unique solvability of the problem in the space W-2(1).

引用

页码：1119 / 1125

页数：7