EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 84(98), pp. 123–157 (2008)

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COMPARISON OF SOME SOLUTION CONCEPTS FOR LINEAR FIRST-ORDER HYPERBOLIC DIFFERENTIAL EQUATIONS WITH NON-SMOOTH COEFFICIENTS

Simon Haller and Günther Hörmann

Fakultät für Mathematik, Universität Wien, Vienna, Austria

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.

Classification (MSC2000): 35D05; 35D10, 46F10, 46F30

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Electronic fulltext finalized on: 9 Dec 2008. This page was last modified: 12 Dec 2008.

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