Comparison of some solution concepts for linear first-order hyperbolic differential equations with non-smooth coefficients
arXiv:0712.1669
Abstract
We discuss solution concepts for linear hyperbolic equations with coefficients of regularity below Lipschitz continuity. Thereby our focus is on theories which are based either on a generalization of the method of characteristics or on refined techniques concerning energy estimates. We provide a series of examples both as simple illustrations of the notions and conditions involved but also to show logical independence among the concepts.
35 pages