Boundary value problems for quasielliptic equations in a half-space

被引：0

作者：

Belonosov, VS

机构：

[1] Sobolev Institute of Mathematics,

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2005年 / 46卷 / 05期

基金：

俄罗斯基础研究基金会;

关键词：

quasielliptic equation; boundary value problem; Poisson kernel; maximum principle;

D O I：

10.1007/s11202-005-0077-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider general boundary value problems with data on the boundary of a half-space for quasielliptic equations with constant coefficients. We find integral represent at ions for solutions and study. some properties of the kernels of the corresponding integral operators. The results are applied to proving some generalization of the Miranda-Agmon maximum principle.

引用

页码：783 / 795

页数：13

共 50 条

[41] Inversion Symmetry of the Solutions of Boundary-Value Problems of Elasticity for a Half-Space
Ostrik, V. I.
INTERNATIONAL APPLIED MECHANICS, 2020, 56 (05) : 628 - 642
[42] INITIAL-BOUNDARY VALUE-PROBLEMS IN LINEAR VISCOELASTICITY ON THE HALF-SPACE
MARK, J
MEISTER, E
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1995, 18 (15) : 1181 - 1214
[43] HALF-SPACE KINETIC EQUATIONS WITH GENERAL BOUNDARY CONDITIONS
Li, Qin
Lu, Jianfeng
Sun, Weiran
MATHEMATICS OF COMPUTATION, 2017, 86 (305) : 1269 - 1301
[44] The inverse Robin boundary value problem in a half-space
Paivarinta, Lassi
Zubeldia, Miren
APPLICABLE ANALYSIS, 2015, 94 (12) : 2565 - 2587
[45] AN ELLIPTIC BOUNDARY-VALUE PROBLEM IN A HALF-SPACE
FAIERMAN, M
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1991, 5B (04): : 905 - 937
[46] Conditions for the solvability of boundary value problems for quasi-elliptic systems in a half-space
L. N. Bondar’
Differential Equations, 2012, 48 : 343 - 353
[47] Conditions for the solvability of boundary value problems for quasi-elliptic systems in a half-space
Bondar', L. N.
DIFFERENTIAL EQUATIONS, 2012, 48 (03) : 343 - 353
[48] Discrete Pseudo-Differential Operators and Boundary Value Problems in a Half-Space and a Cone
Vasilyev, V.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2018, 39 (02) : 289 - 296
[49] Existence and multiplicity of positive solutions for a class of elliptic boundary value problems in the half-space
Hsu, Tsing-San
ADVANCED NONLINEAR STUDIES, 2007, 7 (02) : 187 - 209
[50] An asymptotic formulation for boundary value problems in a non-local elastic half-space
Sahin, Onur
ACTA MECHANICA, 2024, 235 (04) : 2061 - 2075

← 1 2 3 4 5 →