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Carleman Estimates for Parabolic Equations with Nonhomogeneous Boundary Conditions |
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| Authors: | Oleg Yu IMANUVILOV Jean Pierre PUEL Masahiro YAMAMOTO |
| Affiliation: | 1. Dcpartmcnt of Mathematics,Colorado State University,101 Weber Building,Fort Collins CO 80523,USA 2. Laboratoire de Mathematiques de Versailles,Universitéde Versailles-St.Quentin,45 Avenue des Etats Unis,78035 Versailles,France 3. Department of Mathematical Sciences,University of Tokyo,Komaba,Meguro,Tokyo 153,Japan |
| Abstract: | The authors prove a new Carleman estimate for general linear second order parabolic equation with nonhomogeneous boundary conditions.On the basis of this estimate,improved Carleman estimates for the Stokes system and for a system of parabolic equations with a penalty term are obtained.This system can be viewed as an approximation of the Stokes system. |
| Keywords: | Controllability Parabolic equations Carleman estimates |
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