Geodesic
Analytic Extension of a maximal surface in L 3 along its boundary
Acta mathematica Universitatis Comenianae, Tome 78 (2009) no. 1 
Doan The Hieu; Nguyen Van Hanh. Analytic Extension of a maximal surface in L 3 along its boundary. Acta mathematica Universitatis Comenianae, Tome 78 (2009) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2009_78_1_a2/
@article{AMUC_2009_78_1_a2,
     author = {Doan The Hieu and Nguyen Van Hanh},
     title = {Analytic {Extension} of a maximal surface in {L} 3 along its boundary},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2009},
     volume = {78},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2009_78_1_a2/}
}
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Voir la notice de l'article provenant de la source Comenius University

We prove that a maximal surface in Lorentz-Minkowski space L 3 can be extended analytically along its boundary if the boundary lies in a plane meeting the surface at a constant angle.