Solvability of boundary value problems for a class of Sobolev type equations in noncylindrical domains

被引：0

作者：

Pinigina, N. R. ^{[1
]}

机构：

[1] North East Fed Univ, Yakutsk, Russia

来源：

DIFFERENTIAL EQUATIONS | 2015年 / 51卷 / 02期

关键词：

Space Versus; Elliptic Operator; Regular Solution; Weighted Sobolev Space; Young Inequality;

D O I：

10.1134/S0012266115020068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence and uniqueness of a regular solution of a boundary value problem for a Sobolev type equation with elliptic-parabolic operators in noncylindrical domains.

引用

页码：204 / 213

页数：10

共 48 条

[1] Solvability of boundary value problems for a class of Sobolev type equations in noncylindrical domains
N. R. Pinigina
Differential Equations, 2015, 51 : 204 - 213
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[3] On Solvability of Boundary-Value Problems for the Wave Equation with a Nonlinear Dissipation in Noncylindrical Domains
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[10] On the solvability of boundary value problems with a nonlocal boundary condition of integral form for multidimensional hyperbolic equations
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