%0 Journal Article
%T Vanishing non-local regularization of a scalar conservation law
%A Jerome Droniou
%J Electronic Journal of Differential Equations
%D 2003
%I Texas State University
%X 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.
%K Scalar conservation law
%K vanishing regularization
%K fractal operator
%K error estimate.
%U http://ejde.math.txstate.edu/Volumes/2003/117/abstr.html