Local regularity and compactness for the p-harmonic map heat flows
2018 ◽
Vol 11
(3)
◽
pp. 223-255
◽
Keyword(s):
AbstractWe study a geometric analysis and local regularity for the evolution of {{p}}-harmonic maps, called {{p}}-harmonic map heat flows. Our main result is to establish a criterion for a uniform local regularity estimate for regular {{p}}-harmonic map heat flows, devising some new monotonicity-type formulas of a local scaled energy. The regularity criterion obtained is almost optimal, comparing with that of the corresponding stationary case. As application we show a compactness of regular {{p}}-harmonic map heat flows with energy bound.
Keyword(s):
1994 ◽
Vol 36
(1)
◽
pp. 77-80
◽
2012 ◽
Vol 23
(03)
◽
pp. 1250003
◽
Keyword(s):
2019 ◽
Vol 57
(1)
◽
pp. 71-94
◽
2017 ◽
Vol 14
(07)
◽
pp. 1750098
◽
2004 ◽
Vol 159
(2)
◽
pp. 465-534
◽
2000 ◽
Vol 68
(2)
◽
pp. 145-154
◽