The Stokes phenomenon for certain partial differential equations with   meromorphic initial data
  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. 
S{\l}awomir Michalik, Bo\.zena Podhajecka
math.AP math.CV