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Spatial decay estimates for the heat equation via the maximum principle

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Abstract

Spatial decay estimates for the solution of the heat equation, similar to those obtained by other authors using energy inequalities, are established through use of the maximum principle.

Résumé

A l'aide du principe du maximum, on obtient des évaluations pour la décroissance spatiale des solutions de l'équation de la chaleur. Ces résultats ressemblent à ceux d'autres auteurs, qui utilisaient des inégalités pour l'énergie.

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Authors and Affiliations

  1. Dept. of Mechanical Engineering, University of Houston, Houston, Texas, USA

    Cornelius O. Horgan & Lewis T. Wheeler

Authors
  1. Cornelius O. Horgan
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  2. Lewis T. Wheeler
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Horgan, C.O., Wheeler, L.T. Spatial decay estimates for the heat equation via the maximum principle. Journal of Applied Mathematics and Physics (ZAMP) 27, 371–376 (1976). https://doi.org/10.1007/BF01590509

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  • DOI: https://doi.org/10.1007/BF01590509

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