The Stokes phenomenon for certain partial differential equations with meromorphic initial data
Analysis of PDEs
2016-09-13 v2 Complex Variables
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.
Keywords
Cite
@article{arxiv.1603.04209,
title = {The Stokes phenomenon for certain partial differential equations with meromorphic initial data},
author = {Sławomir Michalik and Bożena Podhajecka},
journal= {arXiv preprint arXiv:1603.04209},
year = {2016}
}
Comments
21 pages, 2 figures