Bożena Tkacz
Published 2018-05-29Version 1
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 $\mathbb{C}$ 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.
Exact computation of the $2+1$ convex hull of a finite set
Quasi-geostrophic equations with initial data in Banach spaces of local measures
The Stokes phenomenon for certain partial differential equations with meromorphic initial data
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