On a nonlocal problem for a degenerating parabolic-hyperbolic equation

被引：17

作者：

Sabitov, K. B. ^{[1
]}

Sidorov, S. N.

机构：

[1] Acad Sci Republ Bashkortostan, Inst Appl Res, Sterlitamak, Russia

来源：

DIFFERENTIAL EQUATIONS | 2014年 / 50卷 / 03期

关键词：

Rectangular Domain; Nonlocal Condition; Nonlocal Problem; Positive Zero; Uniqueness Criterion;

D O I：

10.1134/S0012266114030094

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an equation of mixed type in a rectangular domain, we use spectral analysis to establish a uniqueness criterion for the solution of a problem with a nonlocal condition relating the values of the unknown solution that belong to different types of the considered equation. We prove the stability of the solution with respect to the nonlocal condition.

引用

页码：352 / 361

页数：10

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