Publication: Existence theory and qualitative properties of the solutions of some first order quasilinear variational inequalities.
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1983
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Véron, Laurent
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Indiana University
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Abstract
The authors consider first-order equations in "conservation laws'' form perturbed by a semilinear nonlinearity of monotone type. The known existence and uniqueness results for conservation laws—results due to Kruzhkov—are easily adapted to this situation and some qualitative properties of the solutions are discussed.
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