On the relativistic heat equation in one space dimension

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dc.contributor.author	Carrillo, José
dc.contributor.author	Caselles, Vicente
dc.contributor.author	Moll, Salvador
dc.date	2013
dc.identifier.citation	Carrillo 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.citation	1460-244X
dc.identifier.citation	http://dx.doi.org/10.1112/plms/pdt015
dc.identifier.uri	http://hdl.handle.net/10230/36152
dc.format	application/pdf
dc.language.iso	eng
dc.publisher	London Mathematical Society
dc.relation	Proceedings of the London Mathematical Society. 2013 Dec;107(6):1395-423.
dc.relation	eu-repo/grantAgreement/ES/3PN/MTM2011-27739-C04-02
dc.relation	eu-repo/grantAgreement/ES/3PN/MTM2009-08171
dc.relation	eu-repo/grantAgreement/ES/3PN/MTM2012-31103
dc.rights	info:eu-repo/semantics/openAccess
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	http://creativecommons.org/licenses/by/3.0/
dc.title	On the relativistic heat equation in one space dimension
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.description.abstract	We 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.
dc.description.abstract	J.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.

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