A trace theorem for Caloric functions

H. N. Mhaskar

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-7

Abstract:

Given a solution of the heat equation in an open strip, we state necessary and sufficient conditions for the existence of a boundary function in a given weighted Banach space. We then investigate the relationship between the smoothness of this boundary function and the growth of the solution of the heat equation.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:204806

DOI: 10.1155/S0161171285000023

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