Partial regularity for weak heat flows into spheres | Zendy

Chen Yunmei | Zendy; Li Jiayu | Zendy; Lin FangHua | Zendy

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Partial regularity for weak heat flows into spheres

Author(s) -

Chen Yunmei,

Li Jiayu,

Lin FangHua

Publication year - 1995

Publication title -

communications on pure and applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.12

H-Index - 115

eISSN - 1097-0312

pISSN - 0010-3640

DOI - 10.1002/cpa.3160480403

Subject(s) - mathematics , hausdorff space , hausdorff measure , riemannian manifold , spheres , harmonic map , boundary (topology) , monotonic function , mathematical analysis , flow (mathematics) , heat flow , zero (linguistics) , pure mathematics , hausdorff dimension , geometry , thermal , physics , astronomy , linguistics , philosophy , meteorology

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.

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