Smoothness of Solutions of the Dirichlet Problem for the Biharmonic Equation in Nonsmooth 2D Domains

被引：1

作者：

Chichoyan, S. F. ^{[1
]}

机构：

[1] Moscow Univ Finance & Law, Grad Sch Sci, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2015年 / 98卷 / 5-6期

关键词：

biharmonic equation; Dirichlet problem; nonsmooth domain; smoothness; asymptotics; SAINT-VENANT PRINCIPLE; UNBOUNDED-DOMAINS; NEIGHBORHOOD; ELASTICITY; INFINITY; SYSTEM; POINT;

D O I：

10.1134/S0001434615110358

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：999 / 1001

页数：3

共 50 条

[1] Smoothness of solutions of the Dirichlet problem for the biharmonic equation in nonsmooth 2D domains
Chichoyan, S. F.
DIFFERENTIAL EQUATIONS, 2016, 52 (02) : 260 - 264
[2] Smoothness of solutions of the Dirichlet problem for the biharmonic equation in nonsmooth 2D domains
S. F. Chichoyan
Differential Equations, 2016, 52 : 260 - 264
[3] Smoothness of solutions of the Dirichlet problem for the biharmonic equation in nonsmooth 2D domains
S. F. Chichoyan
Mathematical Notes, 2015, 98 : 999 - 1001
[4] ON INTEGRAL EQUATION METHODS FOR THE FIRST DIRICHLET PROBLEM OF THE BIHARMONIC AND MODIFIED BIHARMONIC EQUATIONS IN NONSMOOTH DOMAINS
Helsing, Johan
Jiang, Shidong
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 40 (04): : A2609 - A2630
[5] On solutions of the mixed Dirichlet-Steklov problem for the biharmonic equation in exterior domains
Matevossian H.A.
p-Adic Numbers, Ultrametric Analysis and Applications, 2017, 9 (2) : 151 - 157
[6] ON THE ASYMPTOTIC PROPERTIES OF GENERALIZED SOLUTIONS OF DIRICHLET PROBLEM FOR A POLYHARMONIC EQUATION IN NONSMOOTH DOMAINS
LEVASHKIN, SP
RUSSIAN MATHEMATICAL SURVEYS, 1989, 44 (05) : 208 - 209
[7] Dirichlet–Neumann Problem for the Biharmonic Equation in Exterior Domains
H. A. Matevossian
Differential Equations, 2021, 57 : 1020 - 1033
[8] Polynomial Solutions of the Dirichlet Problem for the Biharmonic Equation in the Ball
Karachik, V. V.
Antropova, N. A.
DIFFERENTIAL EQUATIONS, 2013, 49 (02) : 251 - 256
[9] THE DIRICHLET PROBLEM FOR THE BIHARMONIC EQUATION IN C1 DOMAINS
VERCHOTA, G
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1987, 36 (04) : 867 - 895
[10] THE DIRICHLET PROBLEM IN LP FOR THE BIHARMONIC EQUATION ON LIPSCHITZ-DOMAINS
PIPHER, J
VERCHOTA, G
AMERICAN JOURNAL OF MATHEMATICS, 1992, 114 (05) : 923 - 972

← 1 2 3 4 5 →