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NCTS Seminar on PDE and Analysis
11:00 - 12:00, December 23, 2016 (Friday)
Room 201, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 201室)
Dirichlet Green’s Function and Partial Data Calderon Problem
Leo Tzou (The University of Sydney)


In a 1985 paper Jerison-Kenig showed that the optimal assump- tion for unique continuation for the ∆ + V operator is V ∈ Ln/2. In this talk we will explore the inverse problems analogue of this problem - that Calderon problem with partial data has unique de- termination for V ∈ Ln/2. The method deviates significantly from the traditional approach of Carleman estimates. Instead we ar- rive at the result by explicit microlocal construction of the Dirich- let Green’s function which on its own may be of interest for par- tial data reconstruction. 


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