Summability of formal solutions for some generalized moment partial differential equations

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 infini...

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Detalles Bibliográficos
Autores: Lastra Sedano, Alberto|||0000-0002-4012-6471, Michalik, Slawomir, Suwinska, Maria
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universidad de Alcalá (UAH)
Repositorio:e_Buah Biblioteca Digital Universidad de Alcalá
Idioma:inglés
OAI Identifier:oai:ebuah.uah.es:10017/49331
Acceso en línea:http://hdl.handle.net/10017/49331
https://dx.doi.org/10.1007/s00025-020-01324-y
Access Level:acceso abierto
Palabra clave:Summability
Formal solution
Moment estimates
Moment derivatives
Moment partial differential equations
Matemáticas
Mathematics
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spelling Summability of formal solutions for some generalized moment partial differential equationsLastra Sedano, Alberto|||0000-0002-4012-6471Michalik, SlawomirSuwinska, MariaSummabilityFormal solutionMoment estimatesMoment derivativesMoment partial differential equationsMatemáticasMathematicsThe 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.Agencia Estatal de InvestigaciónUniversidad de AlcaláSpringer Nature20212021-01-0920212021-01-0920222022-01-09journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10017/49331https://dx.doi.org/10.1007/s00025-020-01324-yreponame:e_Buah Biblioteca Digital Universidad de Alcaláinstname:Universidad de Alcalá (UAH)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-105621GB-I00 METODOS ASINTOTICOS, ALGEBRAICOS Y GEOMETRICOS EN FOLIACIONES SINGULARES Y SISTEMAS DINAMICOSUAH Not available CM-JIN-2019-010open accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:ebuah.uah.es:10017/493312026-06-18T11:13:07Z
dc.title.none.fl_str_mv Summability of formal solutions for some generalized moment partial differential equations
title Summability of formal solutions for some generalized moment partial differential equations
spellingShingle Summability of formal solutions for some generalized moment partial differential equations
Lastra Sedano, Alberto|||0000-0002-4012-6471
Summability
Formal solution
Moment estimates
Moment derivatives
Moment partial differential equations
Matemáticas
Mathematics
title_short Summability of formal solutions for some generalized moment partial differential equations
title_full Summability of formal solutions for some generalized moment partial differential equations
title_fullStr Summability of formal solutions for some generalized moment partial differential equations
title_full_unstemmed Summability of formal solutions for some generalized moment partial differential equations
title_sort Summability of formal solutions for some generalized moment partial differential equations
dc.creator.none.fl_str_mv Lastra Sedano, Alberto|||0000-0002-4012-6471
Michalik, Slawomir
Suwinska, Maria
author Lastra Sedano, Alberto|||0000-0002-4012-6471
author_facet Lastra Sedano, Alberto|||0000-0002-4012-6471
Michalik, Slawomir
Suwinska, Maria
author_role author
author2 Michalik, Slawomir
Suwinska, Maria
author2_role author
author
dc.subject.none.fl_str_mv Summability
Formal solution
Moment estimates
Moment derivatives
Moment partial differential equations
Matemáticas
Mathematics
topic Summability
Formal solution
Moment estimates
Moment derivatives
Moment partial differential equations
Matemáticas
Mathematics
description 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.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-01-09
2021
2021-01-09
2022
2022-01-09
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10017/49331
https://dx.doi.org/10.1007/s00025-020-01324-y
url http://hdl.handle.net/10017/49331
https://dx.doi.org/10.1007/s00025-020-01324-y
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-105621GB-I00 METODOS ASINTOTICOS, ALGEBRAICOS Y GEOMETRICOS EN FOLIACIONES SINGULARES Y SISTEMAS DINAMICOS
UAH Not available CM-JIN-2019-010
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv reponame:e_Buah Biblioteca Digital Universidad de Alcalá
instname:Universidad de Alcalá (UAH)
instname_str Universidad de Alcalá (UAH)
reponame_str e_Buah Biblioteca Digital Universidad de Alcalá
collection e_Buah Biblioteca Digital Universidad de Alcalá
repository.name.fl_str_mv
repository.mail.fl_str_mv
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