Size of support of initial heat distribution in the 1D heat equation

1D heat equation

Vu Kim Tuan Department of Mathematics and Computer Science, Faculty of Science, Kuwait University, Safat, Kuwait, 13060

Saburou Saitoh Department of Mathematics, Faculty of Engineering, Gunma University, Kiryu, Japan, 376–8515

Megumi Saigo 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.

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Size of support of initial heat distribution in the 1D heat equation

1D heat equation

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Size of support of initial heat distribution in the 1D heat equation

1D heat equation

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