One-bubble solution with maximum points escaping to infinity for the energy-critical heat equation in ${\mathbb{R}}^5$

Abstract

We investigate the existence of a one-bubble solution with maximum points escaping to infinity for the energy-critical heat equation in dimension five. The key point of the construction is a refined inner linear theory as in \cite[Section 8]{Wei-Zhang-Zhou2022LLG}.

arXiv comment67 pages