Gellerstedt problem for the Lavrent'ev-Bitsadze equation in a 3D-domain

被引：2

作者：

Moiseev, E. I. ^{[1
,2
]}

Nefedov, P. V. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow, Russia

[2] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow, Russia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2014年 / 25卷 / 07期

基金：

俄罗斯基础研究基金会;

关键词：

modified Bessel functions; regular solution; uniform convergence; Riesz basis; Lavrent'ev-Bitsadze equation;

D O I：

10.1080/10652469.2014.883618

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The spectral methods of solving boundary value problems for mixed-type differential equations of the second order in a 3D-domain are studied. Existence of a solution of the Lavrent'ev-Bitsadze problem is proved.

引用

页码：509 / 512

页数：4

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