Counting Ancient Solutions on A Strip with Exponential Growth
Analysis of PDEs
2021-10-05 v1 Differential Geometry
Abstract
We study the ancient solutions of parabolic equations on an infinite strip. We show that any polynomial growth ancient solution for a class of parabolic equations must be constant. Furthermore, we show that the vector space of ancient solutions that grow slower than a fixed exponential order is of finite dimension.
Keywords
Cite
@article{arxiv.2008.09855,
title = {Counting Ancient Solutions on A Strip with Exponential Growth},
author = {Feng Gui},
journal= {arXiv preprint arXiv:2008.09855},
year = {2021}
}