Asymptotic properties of PDEs in compact spaces

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.authorLópez Somoza, Lucía
dc.contributor.authorFernández Tojo, Fernando Adrián
dc.date.accessioned2022-08-03T08:17:30Z
dc.date.available2022-08-03T08:17:30Z
dc.date.issued2021
dc.description.abstractIn this article we combine the study of solutions of PDEs with the study of asymptotic properties of the solutions via compactification of the domain. We define new spaces of functions on which study the equations, prove a version of Ascoli–Arzelà Theorem, develop the fixed point index results necessary to prove existence and multiplicity of solutions in these spaces and also illustrate the applicability of the theory with an examplegl
dc.description.peerreviewedSIgl
dc.description.sponsorshipOpen Access funding provided thanks to the CRUE-CSIC agreement with Springer Naturegl
dc.identifier.citationJournal of Fixed Point Theory and Applications 23, 69 (2021). https://doi.org/10.1007/s11784-021-00905-wgl
dc.identifier.doi10.1007/s11784-021-00905-w
dc.identifier.essn1661-7746
dc.identifier.urihttp://hdl.handle.net/10347/28999
dc.language.isoenggl
dc.publisherSpringergl
dc.relation.publisherversionhttps://doi.org/10.1007/s11784-021-00905-wgl
dc.rights© The Author(s) 2021. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/gl
dc.rightsAtribución 4.0 Internacional
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectTopological methods for PDEgl
dc.subjectCompactificationgl
dc.subjectExistence of solutiongl
dc.subjectAscoli-Arzelà Theoremgl
dc.titleAsymptotic properties of PDEs in compact spacesgl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublicatione77d8fbd-a899-4480-9703-072da1798862
relation.isAuthorOfPublication7d79f16f-87c6-4898-b9eb-1fed52f1819a
relation.isAuthorOfPublication.latestForDiscoverye77d8fbd-a899-4480-9703-072da1798862

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