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GCOEセミナー
過去の記録 ～09/15｜次回の予定｜今後の予定 09/16～
2009年01月30日(金)
15:10-16:10 数理科学研究科棟(駒場) 370号室
Lucie Baudouin 氏 (LAAS-CNRS groupe MAC)
Use of Carleman estimates for stability in some inverse problems
Lucie Baudouin 氏 (LAAS-CNRS groupe MAC)
Use of Carleman estimates for stability in some inverse problems
[ 講演概要 ]
In this presentation, we shall present how global Carleman inequalities can be used to prove the well-posedness of inverse problems related to various partial differential equations. This lecture will gather joint works with J.-P. Puel, A. Osses and A. Mercado. We focus here on stability results for the determination of potential from Neumann boundary measurements by using the Bukhgeim-Klibanov method. We will begin with the simplest models: the Schrodinger and wave equations, and then present some more recent results for transmission problems (same equations with discontinuous main coefficient).
In this presentation, we shall present how global Carleman inequalities can be used to prove the well-posedness of inverse problems related to various partial differential equations. This lecture will gather joint works with J.-P. Puel, A. Osses and A. Mercado. We focus here on stability results for the determination of potential from Neumann boundary measurements by using the Bukhgeim-Klibanov method. We will begin with the simplest models: the Schrodinger and wave equations, and then present some more recent results for transmission problems (same equations with discontinuous main coefficient).
