Null controllability of the heat equation in pseudo-cylinders by an internal control
2020 ◽
Vol 26
◽
pp. 122
Keyword(s):
In this paper we prove the null controllability of the heat equation in domains with a cylindrical part and limited by a Lipschitz graph. The proof consists mainly on getting a Carleman estimate which presents the usual absorption properties. The main difficulty we face is the loss of existence of the usual weighted function in C2 smooth domains. In order to deal with this, we use its cylindrical structure and approximate the system by the same system stated in regular domains. Finally, we show some applications like the controllability of the semi-linear heat equation in those domains.
2011 ◽
Vol 349
(15-16)
◽
pp. 867-871
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Keyword(s):
Keyword(s):
2002 ◽
Vol 7
(7)
◽
pp. 375-383
◽
Keyword(s):
Keyword(s):
2020 ◽
Vol 104
◽
pp. 106241
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