Preprint 1999-044

Time-Periodic Solutions for a Scalar Conservation Law

S. Takeno

Abstract: We consider the existence of time periodic solutions for a nonlinear hyperbolic scalar conservation law with a time periodic outer force. The uniform asymptotic behavior of the Lax--Friedrichs difference approximation gives fixed points of the Poincare map and the convergence of the approximate periodic solution made from such fixed points is proved by the compensated compactness theory.

Available as PostScript.
S. Takeno, <>
Publishing information:
To appear in Nonlinear Analysis.
Submitted by:
<> December 9 1999.

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