Display Abstract

Title Null controllability of degenerate parabolic equations

Name Patrick Martinez
Country France
Email patrick.martinez@math.univ-toulouse.fr
Co-Author(s) Piermarco Cannarsa, Judith Vancostenoble
Submit Time 2014-02-23 15:23:15
Session
Special Session 97: Analysis and control of nonlinear partial differential equation evolution systems
Contents
We study the null controllability properties of degenerate parabolic equations, when degeneracy occurs at the boundary of the domain. In space dimension 1 and 2, we obtain null controllability results under some necessary and sufficient condition on the degeneracy parameter, providing new global Carleman estimates. In space dimension 1, we are also able to study the behaviour of the controllability cost with respect of the degeneracy parameter, using properties of Bessel functions.