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arXiv · 0712.1669

Comparison of some solution concepts for linear first-order hyperbolic differential equations with non-smooth coefficients

Simon Haller·Guenther Hoermann
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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.

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Simon Haller, Guenther Hoermann. 2008-03-03. Comparison of some solution concepts for linear first-order hyperbolic differential equations with non-smooth coefficients. https://arxiv.org/abs/0712.1669

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