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.
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 |
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