2026-06-30T01:25:10Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/585062023-08-28T05:45:09Zcom_20.500.14352_14col_20.500.14352_15

Null controllability of the 1-d heat equation as limit of the controllability of dissipative wave equations López Montes, Antonio Zuazua Iriondo, Enrique 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 2023-06-20T18:44:58Z 2023-06-20T18:44:58Z 1998 journal article 0764-4442 10.1016/S0764-4442(98)80164-X https://hdl.handle.net/20.500.14352/58506 http://www.sciencedirect.com/science/article/pii/S076444429880164X http://www.sciencedirect.com/ eng PB96-0663 restricted access Elsevier