2010•Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave TheoryRequires access

On weak solution of a boundary value problem for an infinite triangular system of elliptic equations with Robin boundary conditions

Svyatoslav Litynskyy, Yuriy Muzychuk

Abstract

Weak solution of the boundary value problem for the infinite triangular system of elliptic equations with Robin boundary conditions in the domain with Lipschitz boundary was introduced. The solution by volume and layer potentials was built by means of special convolution of sequences. The obtained system of boundary integral equations is equivalent to the boundary value problem. These integral equations have the same left side operators and differ only in their right sides that contain solutions of the equations of the system with previous numbers.

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Robin boundary condition, Mathematics, Boundary value problem, Mathematical analysis, Mixed boundary condition, Integral equation, Free boundary problem, Boundary (topology)