The p-Harmonic Heat Flow with Potential into Homogeneous Spaces

摘要

Abstract l11 tl1is papel’ xte I7rove tl1e existellce of gIolal wcak so1utiolls of the I)--11i1r11loliic flow withpotelltial bett’eel1 Rit)mal1nian lnallifOlds AI an(l N fbr arbitrary iuitial data 1la-i11g fl11ite P--e11erg}: illthe case wI1e11 the targct N is a l1on1ogeneous spact. witll a left invariant ln(3tri’.