Impulse null approximate controllability for heat equation with dynamic boundary conditions

IF 1 4区数学 Q1 MATHEMATICS

Mathematical Control and Related Fields Pub Date : 2022-02-28 DOI:10.3934/mcrf.2022026

Salah-Eddine Chorfi, G. E. Guermai, L. Maniar, W. Zouhair

引用次数: 3

Abstract

The main purpose of this article is to prove a logarithmic convexity estimate for the solution of a linear heat equation subject to dynamic boundary conditions in a bounded convex domain. As an application, we prove the impulsive null approximate controllability for an impulsive heat equation with dynamic boundary conditions.

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具有动态边界条件的热方程的脉冲零近似可控性

本文的主要目的是证明在有界凸域上具有动态边界条件的线性热方程解的对数凸性估计。作为应用，我们证明了具有动态边界条件的脉冲热方程的脉冲零近似可控性。

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

Mathematical Control and Related Fields MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

8.30%

发文量

期刊介绍： MCRF aims to publish original research as well as expository papers on mathematical control theory and related fields. The goal is to provide a complete and reliable source of mathematical methods and results in this field. The journal will also accept papers from some related fields such as differential equations, functional analysis, probability theory and stochastic analysis, inverse problems, optimization, numerical computation, mathematical finance, information theory, game theory, system theory, etc., provided that they have some intrinsic connections with control theory.