Carleman estimates and controllability results for fully discrete approximations of 1D parabolic equations
Por:
GONZALEZ CASANOVA, PEDRO, Hernandez-Santamaria, Victor
Publicada:
1 oct 2021
Resumen:
In this paper, we prove a Carleman estimate for fully discrete
approximations of one-dimensional parabolic operators in which the
discrete parameters h and ot are connected to the large Carleman
parameter. We use this estimate to obtain relaxed observability
inequalities which yield, by duality, controllability results for fully
discrete linear and semilinear parabolic equations.
Filiaciones:
GONZALEZ CASANOVA, PEDRO:
Hernandez-Santamaria, V (Corresponding Author), Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico. Gonzalez Casanova, Pedro
Hernandez-Santamaria, Victor:
Hernandez-Santamaria, V (Corresponding Author), Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico. Gonzalez Casanova, Pedro
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