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PreprintarXiv licencearXiv

One-bubble solution with maximum points escaping to infinity for the energy-critical heat equation in ℝ5

  • Junichi Harada
  • Qidi Zhang
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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}.

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Cite

BibTeXRIS
BibTeX
@misc{harada2026onebubble,
  title = {{One-bubble solution with maximum points escaping to infinity for the energy-critical heat equation in $\mathbbR^5$}},
  author = {Junichi Harada and Qidi Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.18370},
  eprint = {2609.18370},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.18370},
}
RIS
TY  - UNPB
TI  - One-bubble solution with maximum points escaping to infinity for the energy-critical heat equation in ℝ^5
AU  - Junichi Harada
AU  - Qidi Zhang
PY  - 2026
DA  - 2026/09/16
PB  - arXiv
DO  - 10.48550/arxiv.2609.18370
UR  - https://arxiv.org/abs/2609.18370
AB  - 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}.
ER  -