Convergence of the 'relativistic' heat equation to the heat equation as c → ∞.

@article{Caselles2007,
abstract = {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).},
author = {Caselles, Vicent},
journal = {Publicacions Matemàtiques},
keywords = {Ecuaciones parabólicas; Ecuación del calor; Problemas de valor de frontera; entropy solutions},
language = {eng},
number = {1},
pages = {121-142},
title = {Convergence of the 'relativistic' heat equation to the heat equation as c → ∞.},
url = {http://eudml.org/doc/41889},
volume = {51},
year = {2007},
}

TY - JOUR
AU - Caselles, Vicent
TI - Convergence of the 'relativistic' heat equation to the heat equation as c → ∞.
JO - Publicacions Matemàtiques
PY - 2007
VL - 51
IS - 1
SP - 121
EP - 142
AB - 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).
LA - eng
KW - Ecuaciones parabólicas; Ecuación del calor; Problemas de valor de frontera; entropy solutions
UR - http://eudml.org/doc/41889
ER -