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Null controllability of degenerate parabolic equations
Author(s) -
Martinez Patrick,
Cannarsa Piermaco,
Vancostenoble Judith
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700465
Subject(s) - controllability , observability , degenerate energy levels , parabolic partial differential equation , mathematics
Motivated by a boundary layer problem, we are interested in the controllability properties of parabolic equations degenerating at the boundary of the space domain. We derive new Carleman estimates for a class of degenerate parabolic equation; the proof is based in particular on Hardytype inequalities. Then we deduce observability and null controllability results. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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