On the relativistic heat equation in one space dimension

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dc.contributor.authorCarrillo, José
dc.contributor.authorCaselles, Vicente
dc.contributor.authorMoll, Salvador
dc.date.accessioned2018-12-19T13:51:48Z
dc.date.available2018-12-19T13:51:48Z
dc.date.issued2013
dc.description.abstractWe study the relativistic heat equation in one space dimension. We prove a local regularity result when the initial datum is locally Lipschitz in its support. We propose a numerical scheme that captures the known features of the solutions and allows for analysing further properties of their qualitative behaviour.en
dc.description.sponsorshipJ.A.C. acknowledges partial support by MINECO project, reference MTM2011-27739-C04-02, by GRC 2009 SGR 345 by the Generalitat de Catalunya, and by the Engineering and Physical Sciences Research Council grant number EP/K008404/1. J.A.C. also acknowledges support from the Royal Society through a Wolfson Research Merit Award. V.C. acknowledges partial support by MINECO project, reference MTM2009-08171, by GRC reference 2009 SGR 773, and by “ICREA Academia” prize for excellence in research funded both by the Generalitat de Catalunya. S.M. acknowledges partial support by MINECO project, reference MTM2012-31103.
dc.format.mimetypeapplication/pdf
dc.identifier.citationCarrillo JA, Caselles V, Moll S. On the relativistic heat equation in one space dimension. Proc London Math Soc. 2013 Dec;107(6):1395-423. DOI: 10.1112/plms/pdt015
dc.identifier.doihttp://dx.doi.org/10.1112/plms/pdt015
dc.identifier.issn1460-244X
dc.identifier.urihttp://hdl.handle.net/10230/36152
dc.language.isoeng
dc.publisherLondon Mathematical Society
dc.relation.ispartofProceedings of the London Mathematical Society. 2013 Dec;107(6):1395-423
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/3PN/MTM2011-27739-C04-02
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/3PN/MTM2009-08171
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/3PN/MTM2012-31103
dc.rights© 2013 London Mathematical Society. This is an Open Access article distributed under the terms ofthe Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/), which permitsunrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/
dc.titleOn the relativistic heat equation in one space dimension
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/publishedVersion

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