Discrete Morse Flow for Yamabe Type Heat Flows

Authors

  • Li Ma
  • Wei Zheng School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China.

DOI:

https://doi.org/10.4208/jpde.v36.n1.3

Keywords:

Discrete Morse flow, Yamabe type flow, critical exponent, nonlinear heat flow.

Abstract

In this paper, we study the discrete Morse flow for  either Yamabe type heat flow or nonlinear heat flow on a bounded regular domain in the whole space. We show that under suitable assumptions on the initial data $g$ one has a weak approximate discrete Morse flow for the Yamabe type heat flow  on any time interval. This phenomenon is very different from the smooth Yamabe flow, where the finite time blow up may exist.

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Published

2023-06-16

Issue

Vol. 36 No. 1 (2023)

Section

Articles