English

Summable solutions of the Goursat problem for some partial differential equations with constant coefficients

Analysis of PDEs 2021-11-01 v2 Complex Variables

Abstract

We consider the Goursat problem for linear partial differential equations with constant coefficients in two complex variables. We find the conditions for summable solutions of the Goursat problem in the case when the Newton polygon has exactly one side with a positive slope.

Keywords

Cite

@article{arxiv.2103.15879,
  title  = {Summable solutions of the Goursat problem for some partial differential equations with constant coefficients},
  author = {Sławomir Michalik},
  journal= {arXiv preprint arXiv:2103.15879},
  year   = {2021}
}

Comments

22 pages

R2 v1 2026-06-24T00:39:54.126Z