The Problem of Determining the Coefficient Multiplying a Power-Law Gradient Nonlinearity in a Semilinear Wave Equation

IF 0.58 Q3 Engineering

Journal of Applied and Industrial Mathematics Pub Date : 2023-08-07 DOI:10.1134/S1990478923020151

V. G. Romanov, T. V. Bugueva

引用次数: 0

Abstract

We consider a one-dimensional inverse problem of determining the coefficient multiplying a power-law gradient nonlinearity in a semilinear wave equation. Theorems on the existence and uniqueness of the solution of the direct problem and local existence and stability of the solution of the inverse problem are proved.

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半线性波动方程中幂律梯度非线性系数乘的确定问题

考虑了半线性波动方程中幂律梯度非线性系数的一维反演问题。证明了正问题解的存在唯一性定理和逆问题解的局部存在稳定性定理。

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 Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.