Initial-boundary value problem with a nonlocal boundary condition for a multidimensional hyperbolic equation

被引：0
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作者：
L. S. Pul’kina
机构：
[1] Samara State University,
来源：
Differential Equations | 2008年 / 44卷
关键词：
Generalize Solution; Galerkin Method; Space Variable; Hyperbolic Equation; Schwarz Inequality;
D O I：
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学科分类号：
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 W21.
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页码：1119 / 1125
页数：6
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