Null controllability of degenerate parabolic operators with drift
Author(s) -
Piermarco Cannarsa,
Genni Fragnelli,
Dario Rocchetti
Publication year - 2007
Publication title -
networks and heterogeneous media
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.732
H-Index - 34
eISSN - 1556-181X
pISSN - 1556-1801
DOI - 10.3934/nhm.2007.2.695
Subject(s) - controllability , observability , degenerate energy levels , divergence (linguistics) , parabolic partial differential equation
We give null controllability results for some degenerate parabolic equations in non divergence form with a drift term in one space dimension. In particular, the coefficient of the second order term may degenerate at the extreme points of the space domain. For this purpose, we obtain an observability inequality for the adjoint problem using suitable Carleman estimates
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