Regularity of solutions in semilinear elliptic theory

Handle URI:
http://hdl.handle.net/10754/617289
Title:
Regularity of solutions in semilinear elliptic theory
Authors:
Indrei, Emanuel; Minne, Andreas; Nurbekyan, Levon
Abstract:
We study the semilinear Poisson equation Δu=f(x,u)inB1. (1) Our main results provide conditions on f which ensure that weak solutions of (1) belong to C1,1(B1/2). In some configurations, the conditions are sharp.
KAUST Department:
Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
Citation:
Regularity of solutions in semilinear elliptic theory 2016 Bulletin of Mathematical Sciences
Publisher:
Springer Nature
Journal:
Bulletin of Mathematical Sciences
Issue Date:
8-Jul-2016
DOI:
10.1007/s13373-016-0088-z
Type:
Article
ISSN:
1664-3607; 1664-3615
Sponsors:
We thank Henrik Shahgholian for introducing us to the regularity problem for semilinear equations. Special thanks go to John Andersson for valuable feedback on a preliminary version of the paper. E. Indrei acknowledges: (i) support from NSF Grants OISE-0967140 (PIRE), DMS-0405343, and DMS-0635983 administered by the Center for Nonlinear Analysis at Carnegie Mellon University and an AMS-Simons Travel Grant; (ii) the hospitality of the Max Planck Institute in Leipzig and University of Oxford where part of the research was carried out. L. Nurbekyan was partially supported by KAUST baseline and start-up funds and KAUST SRI, Uncertainty Quantification Center in Computational Science and Engineering.
Additional Links:
http://link.springer.com/10.1007/s13373-016-0088-z
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorIndrei, Emanuelen
dc.contributor.authorMinne, Andreasen
dc.contributor.authorNurbekyan, Levonen
dc.date.accessioned2016-07-21T10:13:03Z-
dc.date.available2016-07-21T10:13:03Z-
dc.date.issued2016-07-08-
dc.identifier.citationRegularity of solutions in semilinear elliptic theory 2016 Bulletin of Mathematical Sciencesen
dc.identifier.issn1664-3607-
dc.identifier.issn1664-3615-
dc.identifier.doi10.1007/s13373-016-0088-z-
dc.identifier.urihttp://hdl.handle.net/10754/617289-
dc.description.abstractWe study the semilinear Poisson equation Δu=f(x,u)inB1. (1) Our main results provide conditions on f which ensure that weak solutions of (1) belong to C1,1(B1/2). In some configurations, the conditions are sharp.en
dc.description.sponsorshipWe thank Henrik Shahgholian for introducing us to the regularity problem for semilinear equations. Special thanks go to John Andersson for valuable feedback on a preliminary version of the paper. E. Indrei acknowledges: (i) support from NSF Grants OISE-0967140 (PIRE), DMS-0405343, and DMS-0635983 administered by the Center for Nonlinear Analysis at Carnegie Mellon University and an AMS-Simons Travel Grant; (ii) the hospitality of the Max Planck Institute in Leipzig and University of Oxford where part of the research was carried out. L. Nurbekyan was partially supported by KAUST baseline and start-up funds and KAUST SRI, Uncertainty Quantification Center in Computational Science and Engineering.en
dc.language.isoenen
dc.publisherSpringer Natureen
dc.relation.urlhttp://link.springer.com/10.1007/s13373-016-0088-zen
dc.rightsThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.en
dc.subjectSemilinear elliptic theoryen
dc.subjectPartial differential equationsen
dc.subjectRegularity theoryen
dc.titleRegularity of solutions in semilinear elliptic theoryen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Science and Engineering (CEMSE) Divisionen
dc.identifier.journalBulletin of Mathematical Sciencesen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionCenter for Nonlinear Analysis, Carnegie Mellon University, Pittsburgh, PA 15213, USAen
dc.contributor.institutionDepartment of Mathematics, KTH Royal Institute of Technology, 100 44 Stockholm, Swedenen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorNurbekyan, Levonen
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