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Outline

Organizers :

Y.Giga (University of Tokyo/Hokkaido University)

Period :

January 30, 2008 (Wednesday) 10:30-11:30

Place :

Graduate School of Mathematical Sciences the University of Tokyo, Room #056

Programme :

Professor Oleg Yu. Emanouilov (Colorado State University)

TITLE:

Carleman estimates for parabolic equations, a Stokes system and the Navier-Stokes equations and applications to the control problem

ABSTRACT:

We prove a new Carleman estimate for general linear second order parabolic equation with nonhomogeneous boundary conditions. On basis of this estimate we obtain an improved Carleman estimate for the Stokes system and a system of parabolic equations with a parameter which can be viewed as an approximation of the Stokes system. We will discuss the applications to the control problem for these systems.