Title:
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On the relativistic heat equation in one space dimension
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Author:
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Carrillo, José; Caselles, Vicente; Moll, Salvador
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Abstract:
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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. |
Abstract:
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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. |
Rights:
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© 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.
http://creativecommons.org/licenses/by/3.0/ |
Document type:
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Article Article - Published version |
Published by:
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London Mathematical Society
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