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arXiv:1603.04209 [math.AP]AbstractReferencesReviewsResources

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

Sławomir Michalik, Bożena Podhajecka

Published 2016-03-14Version 1

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.

Comments: 21 pages, 2 figures
Categories: math.AP, math.CV
Subjects: 35C10, 35C15, 35K05
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