A CARLEMAN'S INEQUALITY FOR A SYSTEM OF COUPLED PARABOLIC EQUATIONS
DOI:
https://doi.org/10.15381/pes.v12i2.9512Keywords:
Carleman inequality, insensitizing controls, observability inequality.Abstract
In this work we consider a linearized system of parabolic equations associated to a semilinear system of heat equations. Following the ideas of O. Imanuvilov, M. Yamamoto and L. de Teresa we prove a estímate of Carleman type for a system of parabolic equations involving gradient terms. This class of systems appears in the treatment of controls insensitizing the norm of the solution of a semilinear heat equation.
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Copyright (c) 2009 Víctor Rafael Cabanillas Zannini
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