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Article Dans Une Revue Communications in Partial Differential Equations Année : 2016

Dissipative formulation of initial boundary value problems for Friedrichs' systems

Résumé

In this article we present a dissipative definition of a solution for initial boundary value problems for Friedrichs' systems posed in the space L^2_{t,x}. We study the information contained in this definition and prove an existence and uniqueness theorem in the non-characteristic case and with constant coefficients. Finally, we compare our choice of boundary condition to previous works, especially on the wave equation.
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hal-01074542 , version 1 (14-10-2014)

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Clément Mifsud, Bruno Després, Nicolas Seguin. Dissipative formulation of initial boundary value problems for Friedrichs' systems. Communications in Partial Differential Equations, 2016, 41 (1), ⟨10.1080/03605302.2015.1103750⟩. ⟨hal-01074542⟩
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