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arXiv · 1603.04209

The Stokes phenomenon for certain partial differential equations with meromorphic initial data

Sławomir Michalik·Bożena Podhajecka
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Abstract

We study the Stokes phenomenon for the solutions of the 1-dimensional complex heat equation and its generalizations with meromorphic initial data. We use the theory of Borel summability for the description of the Stokes lines, the anti-Stokes lines, jumps across the Stokes lines, and the maximal family of the solutions.

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Sławomir Michalik, Bożena Podhajecka. 2016-03-14. The Stokes phenomenon for certain partial differential equations with meromorphic initial data. https://doi.org/10.3233/asy-161379

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