TY - JOUR
T1 - Discrete Morse Flow for Yamabe Type Heat Flows
AU - Ma , Li
AU - Zheng , Wei
JO - Journal of Partial Differential Equations
VL - 1
SP - 48
EP - 57
PY - 2022
DA - 2022/12
SN - 36
DO - http://doi.org/10.4208/jpde.v36.n1.3
UR - https://global-sci.org/intro/article_detail/jpde/21292.html
KW - Discrete Morse flow, Yamabe type flow, critical exponent, nonlinear heat flow.
AB - <p style="text-align: justify;">In this paper, we study the discrete Morse flow for&nbsp; 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&nbsp; on any time interval. This phenomenon is very different from the smooth Yamabe flow, where the finite time blow up may exist.</p>