Robustness for coupled inclusions with respect to variable exponents

IF 1.3 4区数学 Q1 MATHEMATICS

Evolution Equations and Control Theory Pub Date : 2022-01-01 DOI:10.3934/eect.2022049

J. Simsen

引用次数: 1

Abstract

This work concerns the study of the stability of the solutions and the robustness of the global attractors with respect to the variation of spatially variable exponents for a system with three inclusions. We prove the continuity of the flows and upper semicontinuity of the global attractors.

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耦合内含物相对于可变指数的鲁棒性

本文研究了具有三个内含的系统的解的稳定性和全局吸引子对空间变指数变化的鲁棒性。证明了流的连续性和全局吸引子的上半连续性。

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

Evolution Equations and Control Theory MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.10

自引率

6.70%

发文量

期刊介绍： EECT is primarily devoted to papers on analysis and control of infinite dimensional systems with emphasis on applications to PDE''s and FDEs. Topics include: * Modeling of physical systems as infinite-dimensional processes * Direct problems such as existence, regularity and well-posedness * Stability, long-time behavior and associated dynamical attractors * Indirect problems such as exact controllability, reachability theory and inverse problems * Optimization - including shape optimization - optimal control, game theory and calculus of variations * Well-posedness, stability and control of coupled systems with an interface. Free boundary problems and problems with moving interface(s) * Applications of the theory to physics, chemistry, engineering, economics, medicine and biology