Heat flow of equivariant harmonic maps from 𝔹³ into ℂℙ²

Yuanlong Xin

Vol. 176 (1996), No. 2, 563–579

DOI: 10.2140/pjm.1996.176.563

Abstract

We construct equivariant maps from 𝔹³ into ℂℙ² and prove the global existence of heat flow of such equivariant harmonic maps for equivariant initial-boundary data which are not a priori required to have small range. We also show subconvergence of the solution. This supplies a regular harmonic extension of the given boundary condition.

Mathematical Subject Classification 2000

Primary: 58E20

Secondary: 58G11

Milestones

Received: 18 November 1994

Published: 1 December 1996