Convergence of the 'relativistic' heat equation to the heat equation as c → ∞.
Caselles, Vicent
Publicacions Matemàtiques, (2007), p. 121-142 / Harvested from Biblioteca Digital de Matemáticas
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We prove that the entropy solutions of the so-called relativistic heat equation converge to solutions of the heat equation as the speed of light c tends to ∞ for any initial condition u0 ≥ 0 in L1(RN) ∩ L∞(RN).

Publié le : 2007-01-01
DMLE-ID : 4367 
@article{urn:eudml:doc:41889,
     title = {Convergence of the 'relativistic' heat equation to the heat equation as c $\rightarrow$ $\infty$.},
     journal = {Publicacions Matem\`atiques},
     year = {2007},
     pages = {121-142},
     mrnumber = {MR2307149},
     zbl = {1140.35466},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41889}
}

Caselles, Vicent. Convergence of the 'relativistic' heat equation to the heat equation as c → ∞.. Publicacions Matemàtiques,  (2007), pp. 121-142. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41889/