The Stokes phenomenon for certain PDEs in a case when initial data have a finite set of singular points
Analysis of PDEs
2018-05-30 v1 Complex Variables
Abstract
We study the Stokes phenomenon via hyperfunctions for the solutions of the 1-dimensional complex heat equation under the condition that the Cauchy data are holomorphic on but a finitely many singular or branching points with the appropriate growth condition at the infinity. The main tool are the theory of summability and the theory of hyperfunctions, which allows us to describe jumps across Stokes lines.
Keywords
Cite
@article{arxiv.1805.11410,
title = {The Stokes phenomenon for certain PDEs in a case when initial data have a finite set of singular points},
author = {Bożena Tkacz},
journal= {arXiv preprint arXiv:1805.11410},
year = {2018}
}