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arXiv · 1804.09734

Hyperasymptotic solutions for certain partial differential equations

Sławomir Michalik·Maria Suwińska
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Abstract

We present the hyperasymptotic expansions for a certain group of solutions of the heat equation. We extend this result to a more general case of linear PDEs with constant coefficients. The generalisation is based on the method of Borel summability, which allows us to find integral representations of solutions for such PDEs.

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Sławomir Michalik, Maria Suwińska. 2018-04-25. Hyperasymptotic solutions for certain partial differential equations. https://doi.org/10.1007/978-3-319-99148-1_4

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