A Sharp Decay Estimate for Positive Nonlinear Waves
Alberto Bressan and Tong Yang
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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