Preprint 2000-002

Convergence of a Relaxation Approximation to a Boundary Value Problem for Conservation Laws

R. Natalini and A. Terracina

Abstract: We propose a semilinear relaxation approximation to the unique entropy solutions of an initial boundary value problem for a scalar conservation law. Without any restriction on the initial--boundary data or on the flux function, we prove uniform a priori estimates and convergence of that approximation as the relaxation parameter tends to zero.

Available as PostScript.
R. Natalini, <>
A. Terracina, <>
Publishing information:
Quaderno IAC n.22/1999
Submitted by:
<> January 13 2000.

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