Skip to main content
Article thumbnail
Location of Repository

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

Suggested articles


To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.