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Published November 1971 | public
Journal Article

On the spatial decay of solutions of the heat equation

Abstract

The spatial decay of solutions of parabolic partial differential equations has been the subject of two recent papers by Edelstein [1] and Sigillito [2]. The results obtained by these authors are in some respects analogous to estimates derived in connection with Saint-Venant's principle in the linear theory of elasticity [3], [4].

Additional Information

© 1971 Springer. Received: May 10, 1971. This research is based on work supported in part by the United States Office of Naval Research under Contract Nonr 220(56). Reproduction in whole or in part is permitted for any purpose of the United States Government.

Additional details

Created:
August 19, 2023
Modified:
October 25, 2023