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Diffusion Equations with Finite Speed of Propagation

Fuensanta Andreu (), Vicent Caselles () and José M. Mazón ()
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Fuensanta Andreu: Universitat de Valencia
Vicent Caselles: Universitat Pompeu-Fabra
José M. Mazón: Universitat de Valencia

A chapter in Functional Analysis and Evolution Equations, 2007, pp 17-34 from Springer

Abstract: Abstract In this paper we summarize some of our recent results on diffusion equations with finite speed of propagation. These equations have been introduced to correct the infinite speed of propagation predicted by the classical linear diffusion theory.

Keywords: Nonlinear parabolic equations; nonlinear semigroups; entropy solutions; tempered diffusion equations; functions of bounded variation (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7643-7794-6_2

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DOI: 10.1007/978-3-7643-7794-6_2

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