Partial regularity for weak heat flows into spheres

Yunmei Chen, Jiayu Li, Fang-Hua Lin

Research output: Contribution to journalArticle

Abstract

In this paper we show that a weak heat flow of harmonic maps from a compact Riemannian manifold (possibly with boundary) into a sphere, satisfying the monotonicity inequality and the energy inequality, is regular off a closed set of m‐dimensional Hausdorff measure zero.

Original languageEnglish (US)
Pages (from-to)429-448
Number of pages20
JournalCommunications on Pure and Applied Mathematics
Volume48
Issue number4
DOIs
StatePublished - 1995

Fingerprint

Energy Inequality
Partial Regularity
Hausdorff Measure
Manifolds with Boundary
Harmonic Maps
Heat Flow
Closed set
Compact Manifold
Monotonicity
Riemannian Manifold
Heat transfer
Zero

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Partial regularity for weak heat flows into spheres. / Chen, Yunmei; Li, Jiayu; Lin, Fang-Hua.

In: Communications on Pure and Applied Mathematics, Vol. 48, No. 4, 1995, p. 429-448.

Research output: Contribution to journalArticle

@article{1b8362a907194968819214f15baddaf0,
title = "Partial regularity for weak heat flows into spheres",
abstract = "In this paper we show that a weak heat flow of harmonic maps from a compact Riemannian manifold (possibly with boundary) into a sphere, satisfying the monotonicity inequality and the energy inequality, is regular off a closed set of m‐dimensional Hausdorff measure zero.",
author = "Yunmei Chen and Jiayu Li and Fang-Hua Lin",
year = "1995",
doi = "10.1002/cpa.3160480403",
language = "English (US)",
volume = "48",
pages = "429--448",
journal = "Communications on Pure and Applied Mathematics",
issn = "0010-3640",
publisher = "Wiley-Liss Inc.",
number = "4",

}

TY - JOUR

T1 - Partial regularity for weak heat flows into spheres

AU - Chen, Yunmei

AU - Li, Jiayu

AU - Lin, Fang-Hua

PY - 1995

Y1 - 1995

N2 - In this paper we show that a weak heat flow of harmonic maps from a compact Riemannian manifold (possibly with boundary) into a sphere, satisfying the monotonicity inequality and the energy inequality, is regular off a closed set of m‐dimensional Hausdorff measure zero.

AB - In this paper we show that a weak heat flow of harmonic maps from a compact Riemannian manifold (possibly with boundary) into a sphere, satisfying the monotonicity inequality and the energy inequality, is regular off a closed set of m‐dimensional Hausdorff measure zero.

UR - http://www.scopus.com/inward/record.url?scp=84990669471&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84990669471&partnerID=8YFLogxK

U2 - 10.1002/cpa.3160480403

DO - 10.1002/cpa.3160480403

M3 - Article

VL - 48

SP - 429

EP - 448

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

SN - 0010-3640

IS - 4

ER -