Highly Influenced

# A Regularity Theorem for a Nonconvex Scalar Conservation Law *

@inproceedings{Cheng2003ART, title={A Regularity Theorem for a Nonconvex Scalar Conservation Law *}, author={K Z Cheng}, year={2003} }

- Published 2003

In this paper we study the regularity properties of solutions of a single conservation law. We prove that if the flux function f( .) is smooth and totally nonlinear in the sense that f”( .) vanishes at isolated points only, and if the initial data us( .) are bounded and measurable, then f’(u( ‘, 1)) is in the class of functions of locally bounded variation for ah f 10.