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Carleman estimate for Zaremba boundary condition

Robbiano, L (Université de Versailles Saint-Quentin-en-Yvelines)
Friday 05 August 2011, 10:00-10:45

Seminar Room 1, Newton Institute


The Zaremba boundary condition is a mixed boundary condition of the following type, on a part of the boundary we impose Dirichlet boundary condition and on the other part we impose the Neumann boundary condition. For such a problem we prove an logarithme type estimate for the decrease of energy of a solution for a damped wave equation. In the talk we shall explain the plan of the proof. The main part is to prove a Carleman estimate in a neighborhood of the boundary where the type of boundary conditions changes.


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