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Open Access Research

Global existence of timelike minimal surface of general co-dimension in Minkowski space time

Yinxia Wang1* and Jingzi Liu2

Author Affiliations

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

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Boundary Value Problems 2014, 2014:32  doi:10.1186/1687-2770-2014-32

Published: 7 February 2014

Abstract

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.

MSC: 35L70.

Keywords:
timelike minimal surface; global existence; slow decay initial value