English

The Neumann Problem for Parabolic Hessian Quotient Equations

Analysis of PDEs 2024-04-23 v2

Abstract

In this paper, we consider the Neumann problem for parabolic Hessian quotient equations. We show that the kk-admissible solution of the parabolic Hessian quotient equation exists for all time and converges to the smooth solution of elliptic Hessian quotient equations. Also the solutions of the classical Neumann problem converge to a translating solution.

Keywords

Cite

@article{arxiv.2001.01427,
  title  = {The Neumann Problem for Parabolic Hessian Quotient Equations},
  author = {Chuanqiang Chen and Xi-Nan Ma and Dekai Zhang},
  journal= {arXiv preprint arXiv:2001.01427},
  year   = {2024}
}

Comments

37 pages, submitted

R2 v1 2026-06-23T13:03:35.407Z