RT Journal Article
T1 Null controllability of the 1-d heat equation as limit of the controllability of dissipative wave equations
A1 López Montes, Antonio
A1 Zuazua Iriondo, Enrique
AB We consider the 1 - d wave equation epsilon u(tt) - u(tt) + u(t) = 0 With Dirichlet boundary conditions in a bounded interval. It is well known that for any epsilon > 0 this system is exactly controllable, with controls distributed on some open subinterval. It is also well known that the heat equation u(t) - u(xx) = 0 is null controllable. In this Note we prove that the null controls for the dissipative wave equations can be built so that they converge to a null control for the heat equation as epsilon --> 0. This shows the continuity of the null controls with respect to the singular perturbation under consideration
PB Elsevier
SN 0764-4442
YR 1998
FD 1998
LK https://hdl.handle.net/20.500.14352/58506
UL https://hdl.handle.net/20.500.14352/58506
LA eng
NO DGES (Spain)
NO MEC
DS Docta Complutense
RD 6 may 2024