PreprintCC BY 4.0arXiv
Boundary regularity of harmonic map heat flows from RCD spaces into CAT(0) spaces
Abstract
In this paper, we study the boundary regularity of harmonic map heat flows from a bounded domain in a metric measure space with generalized Ricci curvature bounded from below into a non-positively curved metric space.
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BibTeX
@misc{liu2026boundary,
title = {{Boundary regularity of harmonic map heat flows from RCD spaces into $CAT(0)$ spaces}},
author = {Zi-Ying Liu and Hui-Chun Zhang and Xi-Ping Zhu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.13652},
eprint = {2609.13652},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.13652},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Boundary regularity of harmonic map heat flows from RCD spaces into CAT(0) spaces
AU - Zi-Ying Liu
AU - Hui-Chun Zhang
AU - Xi-Ping Zhu
PY - 2026
DA - 2026/09/12
PB - arXiv
DO - 10.48550/arxiv.2609.13652
UR - https://arxiv.org/abs/2609.13652
AB - In this paper, we study the boundary regularity of harmonic map heat flows from a bounded domain in a metric measure space with generalized Ricci curvature bounded from below into a non-positively curved metric space.
ER -