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Size of support of initial heat distribution in the 1D heat equation |
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| Authors: | Vu Kim Tuan Saburou Saitoh Megumi Saigo |
| Institution: | 1. Department of Mathematics and Computer Science , Faculty of Science, Kuwait University , Safat, Kuwait, 13060;2. Department of Mathematics , Faculty of Engineering, Gunma University , Kiryu, Japan, 376–8515;3. Department of Applied Mathematics , Faculty of Science, Fukuoka University , Fukuoka, Japan, 814–0180 |
| Abstract: | The size of support of initial heat distribution is determined by the heat flow observed either at any fixed time or at any fixed position |
| Keywords: | Heat equation Paley-Wiener theorem analytic extension Bergman-Selberg space infinite order Sobolev space inverse problem |