Inverse problem for an equation of parabolic-hyperbolic type with a nonlocal boundary condition

被引:0
|
作者
K. B. Sabitov
G. R. Yunusova
机构
[1] Samara State University of Architecture and Civil Engineering,
来源
Differential Equations | 2012年 / 48卷
关键词
Inverse Problem; Rectangular Domain; Nonlocal Condition; Closed Domain; Uniqueness Criterion;
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摘要
For an equation of the parabolic-hyperbolic type, we consider an inverse problem with a nonlocal condition relating solution derivatives that belong to different types of the equation in question. We justify a uniqueness criterion and prove the existence of a solution of the problem by the spectral analysis method. We prove the stability of the solution with respect to the nonlocal boundary condition.
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页码:246 / 254
页数:8
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