Revistes Catalanes amb Accés Obert (RACO)

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

Vicente Caselles

Resum


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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