Construction of a Control for the Cubic Semilinear Heat Equation

http://repository.vnu.edu.vn/handle/VNU_123/26706

In this article, we consider the null controllability problem for the cubic semilin-ear heat equation in bounded domains ofR n , n≥3 with Dirichlet boundary conditions for small initial data. 

A constructive way to compute a control function acting on any nonempty open subsetωof is given such that the corresponding solution of the cubic semilinear heat equation can be driven to zero at a given final timeT.

Furthermore, we pro-vide a quantitative estimate for the smallness of the size of the initial data with respect toT that ensures the null controllability property.

Title: 

	Construction of a Control for the Cubic Semilinear Heat Equation
Authors:	Vo, Thi Minh Nhat
Keywords:	Null controllability Linear heat equation Cubic semilinear heat equation
Issue Date:	2016
Publisher:	H. : ĐHQGHN
Citation:	ISIKNOWLEDGE
Abstract:	In this article, we consider the null controllability problem for the cubic semilin-ear heat equation in bounded domains ofR n , n≥3 with Dirichlet boundary conditions for small initial data. A constructive way to compute a control function acting on any nonempty open subsetωof is given such that the corresponding solution of the cubic semilinear heat equation can be driven to zero at a given final timeT. Furthermore, we pro-vide a quantitative estimate for the smallness of the size of the initial data with respect toT that ensures the null controllability property.
Description:	VIETNAM JOURNAL OF MATHEMATICS Volume: 44 Issue: 3 Pages: 587-601 ; TNS06375
URI:	http://repository.vnu.edu.vn/handle/VNU_123/26706
Appears in Collections:	Bài báo của ĐHQGHN trong Web of Science