Lp-estimates of the solution of the Dirichlet problem for second-order elliptic equations

被引：9

作者：

Alkhutov, YA ^{[1
]}

机构：

[1] Vladimir State Pedag Univ, Vladimir, Russia

来源：

SBORNIK MATHEMATICS | 1998年 / 189卷 / 1-2期

关键词：

D O I：

10.1070/SM1998v189n01ABEH000287

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Dirichlet problem for second-order divergence-form elliptic equations with coefficients continuous in a closed domain is considered. A necessary and sufficient condition on the boundary of a compact domain ensuring the unique L-p-solubility of the problem in question and also a corresponding coercive L-p-estimate for all p > 1 are obtained.

引用

页码：1 / 17

页数：17

共 18 条

[1]

AGMON S, 1959, COMM PURE APPL MATH, V12

[2]

ALKHUTOV YA, 1996, INT C CHEB LECT DED, V1, P19

[3]

ALKHUTOV YA, 1995, RUSS MATH SURV, V50, P791

[4]

[Anonymous], 1992, DIFF URAVN

[5]

Gilbar D., 1983, ELLIPTIC PARTIAL DIF

[6]

Grisvard P., 1985, ELLIPTIC PROBLEMS NO, V24

[7]

Kondrat'ev V. A., 1967, T MOSK MAT OBSHCH, V16, P293

[8]

Kondrat'ev VA., 1983, USP MAT NAUK, V38, P3, DOI DOI 10.1070/RM1983V038N02ABEH0034703.2

[9]

KONDRATEV VA, 1986, MATH USSR SB+, V131, P113

[10]

Kondratiev V., 1967, T MOSKOV MATEM OBSHC, V16, P209

← 1 2 →