Le n-ondes de lax pour le probleme mixte (the n-waves of lax for initial-boundary value problem)

Abstract

We Confirm two conjectures of Lax about Glimm's weak solutions for initial boundary value problem whose data have compact support; asmptotic decay as t-1/2 of the total variation in the genuinely nonlinear case and L1 -approximation by N-waves or travelling-waves in general case; it is boundary's version of Liu's results [Li2].