Motivated by several examples coming from physics, biology, and economics, we consider a class of parabolic operators that degenerate at the boundary of the space domain. We study null controllability by a locally distributed control. For this purpose, a specific Carleman estimate for the solutions of degenerate adjoint problems is proved.
Cannarsa, P., Martinez, P., Vancostenoble, J. (2009). Carleman estimates and null controllability for boundary-degenerate parabolic operators. COMPTES RENDUS MATHÉMATIQUE, 347, 147-152.
Carleman estimates and null controllability for boundary-degenerate parabolic operators
CANNARSA, PIERMARCO;
2009-01-01
Abstract
Motivated by several examples coming from physics, biology, and economics, we consider a class of parabolic operators that degenerate at the boundary of the space domain. We study null controllability by a locally distributed control. For this purpose, a specific Carleman estimate for the solutions of degenerate adjoint problems is proved.File in questo prodotto:
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