A note on exponential-type solutions for the linear, delayed heat partial differential equation

preprint2020arXivOpen access

Abstract

We construct a class of exponential type solutions for the linear, delayed heat equation. These representations may be used to provide a priori ansatzes for certain boundary and/or initial-value problems arising in heat transfer. Several of the important mathematical properties of the representations are examined, including a discussion of the dependence on the delay parameter.

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