On an Inhomogeneous Tricomi Problem for a Parabolic-Hyperbolic Equation

被引：1

作者：

Kapustin, N. Yu. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow 119991, Russia

来源：

DIFFERENTIAL EQUATIONS | 2017年 / 53卷 / 10期

基金：

俄罗斯科学基金会;

关键词：

SPECTRAL PARAMETER; BOUNDARY-CONDITION;

D O I：

10.1134/S001226611710010X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider an inhomogeneous Tricomi problem for a parabolic-hyperbolic equation with noncharacteristic type change line and with Frankl type matching condition for the normal derivatives on the type change line. The auxiliary function method is used to establish an a priori estimate of the solution. The existence of the solution is proved by the spectral method.

引用

页码：1340 / 1345

页数：6

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