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dc.contributor.authorLastra Sedano, Alberto 
dc.contributor.authorTahara , Hidetoshi
dc.date.accessioned2020-03-09T17:58:02Z
dc.date.issued2019-07-05
dc.identifier.bibliographicCitationLastra, A. & Tahara, H., S. 2019, “Maillet type theorem for nonlinear totally characteristic partial differential equations”, Mathematische Annalen, vol. 2019
dc.identifier.issn0025-5831
dc.identifier.urihttp://hdl.handle.net/10017/41535
dc.description.abstractThe paper discusses a holomorphic nonlinear singular partial differential equation (t∂t)mu=F(t,x,{(t∂t)j∂αxu}j+α≤m,j<m)(t∂t)mu=F(t,x,{(t∂t)j∂xαu}j+α≤m,j<m) under the assumption that the equation is of nonlinear totally characteristic type. By using the Newton polygon at x=0x=0, the notion of the irregularity at x=0x=0 of the equation is defined. In the case where the irregularity is greater than one, it is proved that every formal power series solution belongs to a suitable formal Gevrey class. The precise bound of the order of the formal Gevrey class is given, and the optimality of this bound is also proved in a generic case.en
dc.description.sponsorshipMinisterio de Economía y Competitividades_ES
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherSpringer
dc.rights© 2019 Springer
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titleMaillet type theorem for nonlinear totally characteristic partial differential equationsen
dc.typeinfo:eu-repo/semantics/articleen
dc.subject.ecienciaMatemáticases_ES
dc.subject.ecienciaMathematicsen
dc.contributor.affiliationUniversidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticases_ES
dc.date.updated2020-03-09T17:56:28Z
dc.relation.publisherversionhttps://doi.org/10.1007/s00208-019-01864-x
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.identifier.doi10.1007/s00208-019-01864-x
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2016-77642-C2-1-P/ES/Algebra y geometría en sistemas dinámicos y foliaciones singulares/en
dc.relation.projectIDJSPS KAKENHI 15K04966
dc.date.embargoEndDate2020-07-05
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.identifier.uxxiAR/0000032705
dc.identifier.publicationtitleMathematische Annalen
dc.identifier.publicationvolume2019


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