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dc.contributor.authorMartínez-López, Antonio
dc.contributor.authorMilán López, Francisco 
dc.date.accessioned2015-09-30T11:31:12Z
dc.date.available2015-09-30T11:31:12Z
dc.date.issued2015
dc.identifier.citationMartínez-López, A.; Milán López, F. The geometric Cauchy problem for the hyperbolic Hessian one equation. Nonlinear Analysis: Theory, Methods and Applications, 125: 323–333 (2015). [http://hdl.handle.net/10481/37917]es_ES
dc.identifier.issn0362-546X
dc.identifier.urihttp://hdl.handle.net/10481/37917
dc.description.abstractWe 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.es_ES
dc.description.sponsorshipMinisterio de Educación y Ciencia Grant No. MTM2013-43970-P and Junta de Andalucía Grant No. FQM-325.es_ES
dc.language.isoenges_ES
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivs 3.0 Licensees_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es_ES
dc.subjectCauchy problemes_ES
dc.subjectHyperbolic Hessian one equationes_ES
dc.subjectImproper affine sphereses_ES
dc.titleThe geometric Cauchy problem for the hyperbolic Hessian one equationes_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.identifier.doi10.1016/j.na.2015.05.021


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