@misc{10481/37917,
year = {2015},
url = {http://hdl.handle.net/10481/37917},
abstract = {We solve the problem of finding all indefinite improper affine spheres passing through a given regular curve of R3R3 with a prescribed affine co-normal vector field along this curve. We prove the problem is well-posed when the initial data are non-characteristic and show that uniqueness of the solution can fail at characteristic directions. As application we classify the indefinite improper affine spheres admitting a geodesic planar curve.},
organization = {Ministerio de Educación y Ciencia Grant No. MTM2013-43970-P and Junta de Andalucía Grant No. FQM-325.},
keywords = {Cauchy problem},
keywords = {Hyperbolic Hessian one equation},
keywords = {Improper affine spheres},
title = {The geometric Cauchy problem for the hyperbolic Hessian one equation},
doi = {10.1016/j.na.2015.05.021},
author = {Martínez López, Antonio and Milán López, Francisco},
}