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Article Dans Une Revue Vietnam Journal of Mathematics Année : 2015

Construction of a control for the cubic semilinear heat equation

Résumé

In this article, we consider the null controllability problem for the cubic semi-linear heat equation in bounded domains Ω of R n , n ≥ 3 with Dirichlet boundary conditions for small initial data. A constructive way to compute a control function acting on any nonempty open subset ω of Ω is given such that the corresponding solution of the cubic semilinear heat equation can be driven to zero at a given final time T. Furthermore, we provide a quantitative estimate for the smallness of the size of the initial data with respect to T that ensures the null controllability property.
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Dates et versions

hal-01225203 , version 1 (09-11-2015)

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Thi Minh Nhat Vo. Construction of a control for the cubic semilinear heat equation. Vietnam Journal of Mathematics, 2015, ⟨10.1007/s10013-015-0171-x⟩. ⟨hal-01225203⟩
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