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.
|Number of pages||20|
|Journal||Electronic Journal of Differential Equations|
|Publication status||Published - 28 Nov 2003|
- Error estimate
- Fractal operator
- Scalar conservation law
- Vanishing regularization