On the Stability Functional for Conservation Laws

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This note is devoted to the explicit construction of a functional defined on all pairs of $\L1$ functions with small total variation, which is equivalent to the $\L1$ distance and non increasing along the trajectories of a given system of conservation laws. Two different constructions are provided, yielding an extension of the original stability functional by Bressan, Liu and Yang.
26 pages

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Analysis of PDEs, 35L65

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http://salesiana.dossiersoluciones.com/handle/123456789/143298

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.2491
 http://arxiv.org/abs/0704.2491

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arXiv