Comparison of Some Solution Concepts for Linear First-order Hyperbolic Differential Equations With Non-smooth Coefficients
Publications de l'Institut Mathématique, (N.S.) 84 (2008) no. 98.

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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. 
@article{PIM_2008_N_S_84_98_a7,
     author = {Simon Haller and G\"unther H\"ormann},
     title = {Comparison of {Some} {Solution} {Concepts} for {Linear} {First-order} {Hyperbolic} {Differential} {Equations} {With} {Non-smooth} {Coefficients}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {123 - 157},
     publisher = {mathdoc},
     volume = {(N.S.) 84},
     number = {98},
     year = {2008},
     zbl = {1274.35225},
     url = {https://geodesic-test.mathdoc.fr/item/PIM_2008_N_S_84_98_a7/}
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Simon Haller; Günther Hörmann. Comparison of Some Solution Concepts for Linear First-order Hyperbolic Differential Equations With Non-smooth Coefficients. Publications de l'Institut Mathématique, (N.S.) 84 (2008) no. 98. https://geodesic-test.mathdoc.fr/item/PIM_2008_N_S_84_98_a7/