On solutions of the mixed Dirichlet-Steklov problem for the biharmonic equation in exterior domains

被引：15
|
作者：
Matevossian H.A. [1 ,2 ]
机构：
[1] Federal Research Center “Computer Science and Control”, Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Vavilov str. 40, Moscow
[2] Moscow Aviation Institute (National Research University “MAI”), Volokolomskoye shosse 4, Moscow
来源：
p-Adic Numbers, Ultrametric Analysis and Applications | 2017年 / 9卷 / 2期
关键词：
biharmonic equation; mixed Dirichlet-Steklov problem; Sobolev space; weighted Dirichlet integral;
D O I：
10.1134/S2070046617020054
中图分类号：
学科分类号：
摘要：
We study the unique solvability of the mixed Dirichlet-Steklov problem for the biharmonic equation in exterior domains under the assumption that a generalized solution of this problem has a bounded Dirichlet integral with weight |x|a. Depending on the value of the parameter a, we prove uniqueness theorem or present exact formulas for the dimension of the solution space of the mixed Dirichlet-Steklov problem in the exterior of a compact set. © 2017, Pleiades Publishing, Ltd.
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页码：151 / 157
页数：6
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