Localization of the discontinuity line of the right-hand side of a differential equation

被引：0

作者：

Konovalova D.S. ^{[1
]}

机构：

[1] Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk

来源：

Journal of Applied and Industrial Mathematics | 2016年 / 10卷 / 01期

关键词：

differential properties; discontinuous function; inverse problem; weak solution;

D O I：

10.1134/S1990478916010117

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We propose a new approach to studying the inverse problems for differential equations with constant coefficients. Its application is illustrated by an example of some partial differential equation with three independent variables. The right-hand side of the equation is assumed to be a function discontinuous in spatial variables. In the inverse problem, it is required to find some hull containing the discontinuity line of the right-hand side. An algorithm for constructing such a hull is obtained: It is a square whose sides are tangent to the discontinuity line. © 2016, Pleiades Publishing, Ltd.

引用

页码：97 / 105

页数：8

共 9 条

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