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Inverse Problems for Multidimensional Heat Equations by Measurements at a Single Point on the Boundary |
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| Authors: | A Boumenir V K Tuan |
| Institution: | 1. Department of Mathematics , University of West Georgia , Carrollton, Georgia, USA boumenir@westga.edu;3. Department of Mathematics , University of West Georgia , Carrollton, Georgia, USA |
| Abstract: | In this article we recover a coefficient in a multidimensional inverse problem for a heat equation. We show that a sequence of measurements taken at the same point on the boundary but at different times is enough to determine the coefficient uniquely. We provide an identifiability algorithm for both Dirichlet and Neumann lateral boundary conditions and we examine the smoothness of the recovered coefficient. |
| Keywords: | Inverse problem Multidimensional heat equation Single point measurement |