On the Biharmonic Problem with the Steklov-Type and Farwig Boundary Conditions

被引：7

作者：

Matevossian, H. A. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia

[2] Natl Res Univ, Moscow Aviat Inst, Moscow 125993, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2020年 / 41卷 / 10期

关键词：

biharmonic operator; Steklov-type and Farwig boundary conditions; Dirichlet integral; weighted spaces; POLYHARMONIC EQUATION; DIRICHLET PROBLEM; SYSTEM;

D O I：

10.1134/S1995080220100133

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the unique solvability of the mixed biharmonic problem with the Steklov-type and Farwig conditions on the boundary in the exterior of a compact set under the assumption that generalized solutions of this problem has a bounded Dirichlet integral with weight vertical bar x vertical bar(a). Depending on the value of the parameter a, we obtained uniqueness (non-uniqueness) theorems of this problem or present exact formulas for the dimension of the space of solutions.

引用

页码：2053 / 2059

页数：7

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