dc.contributor.author | Lastra Sedano, Alberto | |
dc.contributor.author | Tahara , Hidetoshi | |
dc.date.accessioned | 2020-03-09T17:58:02Z | |
dc.date.issued | 2019-07-05 | |
dc.identifier.bibliographicCitation | Lastra, A. & Tahara, H., S. 2019, “Maillet type theorem for nonlinear totally characteristic partial differential equations”, Mathematische Annalen, vol. 2019 | |
dc.identifier.issn | 0025-5831 | |
dc.identifier.uri | http://hdl.handle.net/10017/41535 | |
dc.description.abstract | The 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.sponsorship | Ministerio de Economía y Competitividad | es_ES |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Springer | |
dc.rights | © 2019 Springer | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.title | Maillet type theorem for nonlinear totally characteristic partial differential equations | en |
dc.type | info:eu-repo/semantics/article | en |
dc.subject.eciencia | Matemáticas | es_ES |
dc.subject.eciencia | Mathematics | en |
dc.contributor.affiliation | Universidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticas | es_ES |
dc.date.updated | 2020-03-09T17:56:28Z | |
dc.relation.publisherversion | https://doi.org/10.1007/s00208-019-01864-x | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
dc.identifier.doi | 10.1007/s00208-019-01864-x | |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2016-77642-C2-1-P/ES/Algebra y geometría en sistemas dinámicos y foliaciones singulares/ | en |
dc.relation.projectID | JSPS KAKENHI 15K04966 | |
dc.date.embargoEndDate | 2020-07-05 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.identifier.uxxi | AR/0000032705 | |
dc.identifier.publicationtitle | Mathematische Annalen | |
dc.identifier.publicationvolume | 2019 | |