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.
Origine | Fichiers produits par l'(les) auteur(s) |
---|
Loading...