Preprint 2003-030

A Sharp Decay Estimate for Positive Nonlinear Waves

Alberto Bressan and Tong Yang

Abstract: We consider a strictly hyperbolic, genuinely nonlinear system of conservation laws in one space dimension. A sharp decay estimate is proved for the positive waves in an entropy weak solution. The result is stated in terms of a partial ordering among positive measures, using symmetric rearrangements and a comparison with a solution of Burgers' equation with impulsive sources.

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Alberto Bressan, <>
Tong Yang, <>
Publishing information:
To appear in SIAM J. Math. Anal.
Submitted by:
<> May 13 2003.

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