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Dissipative formulation of initial boundary value problems for Friedrichs' systems

By Clément Mifsud, Bruno Després and Nicolas Seguin

Abstract

International audienceIn 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

Topics: [ MATH.MATH-AP ] Mathematics [math]/Analysis of PDEs [math.AP]
Publisher: Taylor & Francis
Year: 2016
DOI identifier: 10.1080/03605302.2015.1103750
OAI identifier: oai:HAL:hal-01074542v1
Provided by: Hal-Diderot

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