One-bubble solution with maximum points escaping to infinity for the energy-critical heat equation in $\mathbb{R}^5$
Year: 2026
Type: preprint
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}.
Source: arXiv (Cornell University)
Authors: Harada, Junichi, Zhang, Qidi
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213499357