APPROXIMATE CONTROLLABILITY OF THE SEMILINEAR REACTION-DIFFUSION EQUATION GOVERNED BY A MULTIPLICATIVE CONTROL

被引：1

作者：

Ouzahra, Mohamed ^{[1
]}

机构：

[1] Univ Sidi Mohamed Ben Abdellah, Lab M2PA, ENS, POB 5206, Bensouda, Fes, Morocco

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 02期

关键词：

Semilinear equation; reaction-diffusion; approximate controllability; bilinear control; HEAT-EQUATION; MATHEMATICAL-MODELS; STATES; TERM;

D O I：

10.3934/dcdsb.2021081

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we are concerned with the approximate controllability of a multidimensional semilinear reaction-diffusion equation governed by a multiplicative control, which is locally distributed in the reaction term. For a given initial state we provide sufficient conditions on the desirable state to be approximately reached within an arbitrarily small time interval. Our approaches are based on linear semigroup theory and some results on uniform approximation with smooth functions.

引用

页码：1075 / 1090

页数：16

共 45 条

[1] CONTROLLABILITY PROPERTIES FOR THE ONE-DIMENSIONAL HEAT EQUATION UNDER MULTIPLICATIVE OR NONNEGATIVE ADDITIVE CONTROLS WITH LOCAL MOBILE SUPPORT [J].