Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP in 2D with general right-hand side

IF 0.9 4区数学 Q2 MATHEMATICS

Journal of Integral Equations and Applications Pub Date : 2021-12-01 DOI:10.1216/jie.2021.33.403

T. Ayele, S. Mikhailov

引用次数: 9

Abstract

Applying the two-operator approach, the mixed (Dirichlet-Neumann) boundary value problem for a second-order scalar elliptic differential equation with variable coefficient is reduced to several systems of Boundary Domain Integral Equations, briefly BDIEs. The two-operator BDIE sys- tem equivalence to the boundary value problem, BDIE solvability and invertibility of the boundary- domain integral operators are proved in the appropriate Sobolev spaces.

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广义右手边二维变系数混合BVP的两个算子边域积分方程的分析

应用双算子方法，将二阶变系数标量椭圆型微分方程的混合（Dirichlet Neumann）边值问题简化为几个边域积分方程组，简称BDIE。在适当的Sobolev空间中证明了边值问题的两个算子BDIE系统的等价性、边域积分算子的BDIE可解性和可逆性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Integral Equations and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Integral Equations and Applications is an international journal devoted to research in the general area of integral equations and their applications. The Journal of Integral Equations and Applications, founded in 1988, endeavors to publish significant research papers and substantial expository/survey papers in theory, numerical analysis, and applications of various areas of integral equations, and to influence and shape developments in this field. The Editors aim at maintaining a balanced coverage between theory and applications, between existence theory and constructive approximation, and between topological/operator-theoretic methods and classical methods in all types of integral equations. The journal is expected to be an excellent source of current information in this area for mathematicians, numerical analysts, engineers, physicists, biologists and other users of integral equations in the applied mathematical sciences.