harmonic heat flow
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Interior estimates of harmonic heat flow

2021 ◽  
pp. 2150039
Author(s):  
Xiangao Liu ◽  
Zixuan Liu ◽  
Kui Wang
Keyword(s):  
Riemannian Manifolds ◽  
A Priori Estimates ◽  
A Priori ◽  
Regularity Result ◽  
Harmonic Mappings ◽  
Geodesic Ball ◽  
Priori Estimates ◽  
Schauder Estimate ◽  
Harmonic Flow ◽  
Harmonic Heat Flow

Motivated by Giaquinta and Hildebrandt’s regularity result for harmonic mappings [M. Giaquinta and S. Hildebrandt, A priori estimates for harmonic mappings, J. Reine Angew. Math. 1982(336) (1982) 124–164, Theorems 3 and 4], we show a [Formula: see text]-regularity result of the harmonic flow between two Riemannian manifolds when the image is in a regular geodesic ball. The proof is based on De Giorgi–Moser’s iteration and Schauder estimate.

scholarly journals On the stability of type II blowup for the 1-corotational energy-supercritical harmonic heat flow

2019 ◽  
Vol 12 (1) ◽  
pp. 113-187 ◽  
Author(s):  
Tej-eddine Ghoul ◽  
Slim Ibrahim ◽  
Van Tien Nguyen
Keyword(s):  
Heat Flow ◽  
Type Ii ◽  
Harmonic Heat Flow ◽  
The Stability

scholarly journals Quantized slow blow-up dynamics for the corotational energy-critical harmonic heat flow

2014 ◽  
Vol 7 (8) ◽  
pp. 1713-1805 ◽  
Author(s):  
Pierre Raphaël ◽  
Remi Schweyer
Keyword(s):  
Heat Flow ◽  
Blow Up ◽  
Harmonic Heat Flow

A Regularity Criterion for the Harmonic Heat Flow

2014 ◽  
Vol 38 (1) ◽  
pp. 91-94
Author(s):  
Xiaochun Chen ◽  
Yanyi Jin ◽  
Liangbing Jin
Keyword(s):  
Heat Flow ◽  
Regularity Criterion ◽  
Harmonic Heat Flow
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