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Preprints, Working Papers, ... Year : 2007

First order quasilinear equations with boundary conditions in the $L^\infty$ framework

Sébastien Martin

Abstract

We study a class of first order quasilinear equations on bounded domains with $L^\infty$ data. Using the "semi Kruzkov entropy-flux pairs", we define a weak-entropy solution, state an existence and uniqueness result, and a set preserving result.
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Dates and versions

hal-00007856 , version 1 (09-08-2005)
hal-00007856 , version 2 (22-02-2007)

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  • HAL Id : hal-00007856 , version 2

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Sébastien Martin. First order quasilinear equations with boundary conditions in the $L^\infty$ framework. 2007. ⟨hal-00007856v2⟩
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