On the boundary-value problem for a class of equations of mixed type in an unbounded domain

被引：0
|
作者：
M. Kh. Ruziev
机构：
[1] National Academy of Sciences,Institute of Mathematics and Information Technology
来源：
Mathematical Notes | 2012年 / 92卷
关键词：
partial differential equation of mixed type; Gellerstedt problem; boundary-value problem; parabolic degeneracy; extremum principle; Cauchy problem; Darboux formula;
D O I：
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学科分类号：
摘要：
In this paper, we study the boundary-value problem for an equation of mixed type with singular coefficient. The uniqueness of the solution of the problem is proved using the extremum principle and the existence of a solution to the problem is established by the method of integral equations.
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页码：70 / 78
页数：8
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