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

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Lower semicontinuity of weighted path length in BV,. 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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Global existence of the solutions and formation of singularities for a class of hyperbolic systems,ic 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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diathermy

BIPED

Regularity of solutions to characteristic boundary value problem for symmetric systems,hat the boundary matrix is given by . where .(.) = (..(.),…,..(.)) is the unit outward normal to Ω. Let be symmetric positive definite. We study the following boundary value problem . where .(.) is a linear subspace of ... We are concerned with the case in which the rank of .. is not constant.

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