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Open Access Research Article Issue
An Oleinik inequality for a class of heterogeneous balance laws
Rida Harb, Stéphane Junca
Networks and Heterogeneous Media 2026, 21(1): 22-54
Published: 15 March 2026
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Although an Oleinik inequality is not expected for general heterogeneous scalar balance laws, there is a favorable case, when the source term g ( x ) is smooth and nondecreasing. In this setting, we are able to obtain an Oleinik-type inequality and, consequently, a smoothing effect.

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