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arXiv · 1504.01907

Rigorous Estimates on Balance Laws in Bounded Domains

Rinaldo M. Colombo·Elena Rossi
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Abstract

The initial-boundary value problem for a general balance law in a bounded domain is proved to be well posed. Indeed, we show the existence of an entropy solution, its uniqueness and its Lipschitz continuity as a function of time, of the initial datum and of the boundary datum. The proof follows the general lines in Bardos, Leroux and N\'ed\'elec (1979), striving to provide a rigorous treatment and detailed references.

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Rinaldo M. Colombo, Elena Rossi. 2015-04-08. Rigorous Estimates on Balance Laws in Bounded Domains. https://arxiv.org/abs/1504.01907

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