Hyperasymptotic solutions for certain partial differential equations
Analysis of PDEs
2019-12-03 v1
Abstract
We present the hyperasymptotic expansions for a certain group of solutions of the heat equation. We extend this result to a more general case of linear PDEs with constant coefficients. The generalisation is based on the method of Borel summability, which allows us to find integral representations of solutions for such PDEs.
Cite
@article{arxiv.1804.09734,
title = {Hyperasymptotic solutions for certain partial differential equations},
author = {Sławomir Michalik and Maria Suwińska},
journal= {arXiv preprint arXiv:1804.09734},
year = {2019}
}
Comments
17 pages