English

Uniqueness of the solution of some nonlinear singular partial differential equations of the second order

Analysis of PDEs 2021-10-19 v1

Abstract

In this paper, we consider a nonlinear Fuchsian type partial differential equation of the second order in the complex domain. Under a very weak assumption, we show the uniqueness of the solution. The result is applied to the problem of analytic continuation of local holomorphic solutions of this equation.

Keywords

Cite

@article{arxiv.2110.08433,
  title  = {Uniqueness of the solution of some nonlinear singular partial differential equations of the second order},
  author = {Hidetoshi Tahara},
  journal= {arXiv preprint arXiv:2110.08433},
  year   = {2021}
}