Carleman estimates and controllability results for fully discrete approximations of 1D parabolic equations

被引：7
|
作者：
Gonzalez Casanova, Pedro [1 ]
Hernandez-Santamaria, Victor [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 2021年 / 47卷 / 05期
关键词：
Carleman estimates; Fully discrete parabolic equations; Observability; Null controllability; ELLIPTIC-OPERATORS; NULL;
D O I：
10.1007/s10444-021-09885-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：71
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