TY - JOUR AU - Martínez López, Antonio AU - Milán López, Francisco PY - 2015 SN - 0362-546X UR - http://hdl.handle.net/10481/37917 AB - 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... LA - eng KW - Cauchy problem KW - Hyperbolic Hessian one equation KW - Improper affine spheres TI - The geometric Cauchy problem for the hyperbolic Hessian one equation DO - 10.1016/j.na.2015.05.021 ER -