Global existence of smooth solutions to exponential wave maps in FLRW spacetimes

Chang-Hua Wei and Ning-An Lai

Vol. 289 (2017), No. 2, 489–509

DOI: 10.2140/pjm.2017.289.489

Abstract

We consider the Cauchy problem of exponential wave maps in Friedmann–Lemaître–Robertson–Walker (FLRW) spacetimes. Using a weighted energy estimate, we show that the smooth solution of the Cauchy problem for exponential wave maps in FLRW spacetimes exists globally for small initial data.

Keywords

exponential wave map, FLRW, weighted energy estimate

Mathematical Subject Classification 2010

Primary: 35L05

Milestones

Received: 23 February 2015

Revised: 27 January 2016

Accepted: 13 June 2016

Published: 19 June 2017