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：
暂无
中图分类号：
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
相关论文
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  • [3] Kapustin N. Yu.(1991) = 0 Dokl. Akad. Nauk SSSR 317 1048-1052
  • [4] Sabitov K. B.(2009)On a problem of Frankl Mat. Zametki 86 748-760
  • [5] Salakhitdinov M. S.(undefined)On the solution of a problem in the theory of the Frankl problem for equations of mixed type undefined undefined undefined-undefined
  • [6] Mirsaburov M.(undefined)A problem with a nonlocal boundary condition on the characteristic for a class of equations of mixed type undefined undefined undefined-undefined
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