Convergence of the 'relativistic' heat equation to the heat equation as \to\infty

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Vicente Caselles
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 $L ^1(\mathbb{R}^N)\cap L^\infty(\mathbb{R}^N) $u _0 \geq 0.

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Caselles, Vicente. “Convergence of the ’relativistic’ heat equation to the heat equation as \to\infty”. Publicacions Matemàtiques, vol.VOL 51, no. 1, pp. 121-42, https://raco.cat/index.php/PublicacionsMatematiques/article/view/218484.

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