@Article{JPDE-23-158,
author = {Yijie He },
title = {Light-like Extremal Surfaces in Minkowski Space R<sup>1+(1+n)</sup>},
journal = {Journal of Partial Differential Equations},
year = {2010},
volume = {23},
number = {2},
pages = {158--167},
abstract = {<p>In this paper we investigate the equations for light-like extremal surfaces in Minkowski space R^{1+(1+n)}. We show that the light-like assumption is compatible with the Cauchy problem and give a necessary and sufficient condition on the global existence of classical solutions of the Cauchy problem. Based on this, we obtain entire light-like extremal surfaces by solving the Cauchy problem explicitly when such necessary and sufficient condition holds. Finally, some discussions and related remarks are given.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v23.n2.3},
url = {http://global-sci.org/intro/article_detail/jpde/5226.html}
}