Global existence of timelike minimal surface of general co-dimension in Minkowski space time
1 School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou, 450011, China
2 College of Electric Power, North China University of Water Resources and Electric Power, Zhengzhou, 450011, China
Boundary Value Problems 2014, 2014:32 doi:10.1186/1687-2770-2014-32Published: 7 February 2014
In this paper, we prove that the global existence of solutions to timelike minimal surface equations having arbitrary co-dimension with slow decay initial data in two space dimensions and three space dimensions, provided that the initial value is suitably small.