| Issue |
ESAIM: COCV
Volume 26, 2020
|
|
|---|---|---|
| Article Number | 91 | |
| Number of page(s) | 20 | |
| DOI | https://doi.org/10.1051/cocv/2020013 | |
| Published online | 17 November 2020 | |
Boundary null controllability as the limit of internal controllability: The heat case
1
Department of Mathematics, Federal University of Paraíba, UFPB, CEP
58051-900,
João Pessoa,
PB, Brazil.
2
Laboratoire de Mathématiques de Versailles, Université de Versailles St Quentin,
78035
Versailles cedex, France.
* Corresponding author: mcsantos@mat.ufpb.br
Received:
23
August
2019
Accepted:
16
March
2020
It is well known that for the heat equation with Dirichlet boundary condition both internal and boundary null controllability hold with controls applied to any open subset of the domain and any open subset of the boundary, respectively. The purpose of this paper is to show that for the heat equation the boundary null controllability can be obtained as the limit of distributed null controllability.
Mathematics Subject Classification: 35B25 / 49E25 / 93B05 / 93B07
Key words: Internal null controllability / boundary null controllability / Carleman estimates / singular pertubations
© EDP Sciences, SMAI 2020
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