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Article Dans Une Revue Electronic Journal of Differential Equations Année : 2003

Vanishing non-local regularization of a scalar conservation law

Résumé

We prove that the solution to the regularization of a scalar conservation law by a fractional power of the Laplacian converges, as the regularization vanishes, to the entropy solution of the hyperbolic problem. We also give an error estimate when the initial condition has bounded variation.
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Dates et versions

hal-00003937 , version 1 (19-01-2005)

Identifiants

  • HAL Id : hal-00003937 , version 1

Citer

Jerome Droniou. Vanishing non-local regularization of a scalar conservation law. Electronic Journal of Differential Equations, 2003, 2003, pp.no 117, 1-20. ⟨hal-00003937⟩
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