RT Journal Article
T1 Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations
A1 López Montes, Antonio
A1 Zhang, Xu
A1 Zuazua Iriondo, Enrique
AB In this paper we prove that the null controllability property of the heat equation may be obtained as limit of the exact controllability properties of singularly perturbed damped wave equations, We impose Dirichlet, homogeneous boundary conditions. The control is supported in a neighborhood of a subset of the boundary that satisfies the classical requirements to apply multiplier techniques. The proof needs an iterative argument that allows to treat separately the low and high frequencies and to make use of the dissipativity of the systems under consideration. This is combined with sharp observability estimates on the eigenfunctions of the Laplacian due to G. Lebeau and L. Robbiano, and global Carleman estimates
PB Elsevier
SN 0021-7824
YR 2000
FD 2000
LK https://hdl.handle.net/20.500.14352/58504
UL https://hdl.handle.net/20.500.14352/58504
LA eng
NO DGES (Spain)
NO Natural Science Foundation of China
NO Chinese Education Ministry Science Foundation
DS Docta Complutense
RD 8 abr 2025