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

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.

21 pages, 2 figures

References in corpus (1)

• Summability of formal solutions of linear partial differential equations with divergent initial data

Cited by in corpus (2)

• The Stokes phenomenon for some moment partial differential equations
• Hyperasymptotic solutions for certain partial differential equations