Summability of formal solutions for some generalized moment partial differential equations
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/49331DOI: 10.1007/s00025-020-01324-y
ISSN: 1422-6383
Publisher
Springer Nature
Date
2021-01-09Embargo end date
2022-01-09Funders
Agencia Estatal de Investigación
Universidad de Alcalá
Bibliographic citation
Lastra, A., Michalik, S. & Suwińska, M. 2021, "Summability of formal solutions for some generalized moment partial differential equations", Results Math, vol. 76, art. no. 22.
Keywords
Summability
Formal solution
Moment estimates
Moment derivatives
Moment partial differential equations
Project
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105621GB-I00/ES/METODOS ASINTOTICOS, ALGEBRAICOS Y GEOMETRICOS EN FOLIACIONES SINGULARES Y SISTEMAS DINAMICOS/
info:eu-repo/grantAgreement/UAH//CM-JIN-2019-010
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/acceptedVersion
Publisher's version
https://doi.org/10.1007/s00025-020-01324-yRights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
Access rights
info:eu-repo/semantics/openAccess
Abstract
The concept of moment differentiation is extended to the class of moment summable functions, giving rise to moment differential properties. The main result leans on accurate upper estimates for the integral representation of the moment derivatives of functions under exponential-like growth at infinity, and appropriate deformation of the integration paths. The theory is applied to obtain summability results of certain family of generalized linear moment partial differential equations with variable coefficients.
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