Parameter identification for stochastic diffusion equations with unknown boundary conditions |
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| Authors: | Shin-Ichi Aihara Arunabha Bagchi |
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| Institution: | (1) Department of Applied Mathematics, Twente University of Technology, P.O. Box 217, 7500 AE Enschede, The Netherlands;(2) Present address: Kyoto Institute of Technology, Faculty of Polytechnic Sciences, 606 Kyoto, Japan |
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| Abstract: | Stochastic diffusion equations with unknown boundary conditions are encountered in practice whenever the boundary is observed only through measurement errors. Parameter identification for such systems is studied in the present paper. The boundary condition is treated as an unknown parameter in a function space as an intermediate step in solving the identification problem. |
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