English

Existence of global-in-time solutions to a system of fully nonlinear parabolic equations

Analysis of PDEs 2022-02-11 v1

Abstract

We consider the Cauchy problem for a system of fully nonlinear parabolic equations. In this paper, we shall show the existence of global-in-time solutions to the problem. Our condition to ensure the global existence is specific to the fully nonlinear parabolic system.

Keywords

Cite

@article{arxiv.2202.04809,
  title  = {Existence of global-in-time solutions to a system of fully nonlinear parabolic equations},
  author = {Takahiro Kosugi and Ryuichi Sato},
  journal= {arXiv preprint arXiv:2202.04809},
  year   = {2022}
}

Comments

23 pages