Paper Info
Title
Carleman Estimates And Controllability Results For Fully Discrete Approximations Of 1d Parabolic Equations
Abstract
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.
Year
DOI
Venue
2021
10.1007/s10444-021-09885-4
ADVANCES IN COMPUTATIONAL MATHEMATICS
Keywords
DocType
Volume
Carleman estimates, Fully discrete parabolic equations, Observability, Null controllability
Journal
47
Issue
ISSN
Citations 
5
1019-7168
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Pedro González-Casanova100.68
Victor Santamaria2144.02