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Vanishing non-local regularization of a scalar conservation law. (English) Zbl 1039.35061
A scalar conservation law is regularized by means of a fractional power of the Laplacian. It is shown that the regularized solutions converge to the entropy solution of the conservation law in case that the regularization vanishes. An error estimate is given if the initial condition has bounded variation.

MSC:
35L65 Hyperbolic conservation laws
35A35 Theoretical approximation in context of PDEs
35B20 Perturbations in context of PDEs
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