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 controllabi...