Titlebook: Geometrical Optics and Related Topics; Ferruccio Colombini,Nicolas Lerner Conference proceedings 1997 Springer Science+Business Media New

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Geometrical Optics and Related Topics978-1-4612-2014-5Series ISSN 1421-1750 Series E-ISSN 2374-0280

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https://doi.org/10.1007/978-3-030-45843-0. distance, are defined in terms of the Glimm interaction potential. They are relevant in the study of nonlinear hyperbolic systems of conservation laws, being contractive w.r.t. the corresponding flow of solutions.

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Georg Glaeser,Daniel Abed-Navandiic systems of the form . with smooth compactly supported initial data in ... Here . ≥ 1 and .: .. → . is a given .. function. We shall call (0.1) a hyperbolic system of Hamiltonian type (see [5]). For the sake of simplicity, we shall concentrate our attention to the special case . with ., . > 1.

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