On the Dirichlet problem for a mixed-type equation of the second kind with strong degeneration

被引：10

作者：

Khairullin, R. S. ^{[1
]}

机构：

[1] Kazan State Univ Architecture & Civil Engn, Kazan, Russia

来源：

DIFFERENTIAL EQUATIONS | 2013年 / 49卷 / 04期

关键词：

Dirichlet Problem; Mixed Type; Transmission Condition; Rectangular Domain; Admissible Function;

D O I：

10.1134/S0012266113040113

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By separation of variables, we construct particular solutions of an equation of mixed elliptic-hyperbolic type of the second kind with strong degeneration in a rectangular domain. We pose certain transmission conditions on the singular line. The constructed solutions satisfy the equation in the entire mixed domain and are used to study the uniqueness of the solution of the Dirichlet problem for this domain.

引用

页码：510 / 516

页数：7

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