Vanishing non-local regularization of a scalar conservation law

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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.

Original languageEnglish
Pages (from-to)1-20
Number of pages20
JournalElectronic Journal of Differential Equations
Publication statusPublished - 28 Nov 2003
Externally publishedYes


  • Error estimate
  • Fractal operator
  • Scalar conservation law
  • Vanishing regularization

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