Minimization solutions to conservation laws with non-smooth and non-strictly convex flux
Conservation laws are usually studied in the context of suffcient regularity conditionsimposed on the flux function, usually C<sup>2</sup> and uniform convexity. Some results are proven with theaid of variational methods and a unique minimizer such as Hopf-Lax and Lax-Oleinik. We show th...
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Format: | Article |
Language: | English |
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AIMS Press
2018-03-01
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Series: | AIMS Mathematics |
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Online Access: | http://www.aimspress.com/article/10.3934/Math.2018.1.96/fulltext.html |