A sharp decay estimate for positive nonlinear waves

Alberto Bressan Tong Yang

Analysis of PDEs mathscidoc:1912.43963

SIAM journal on mathematical analysis, 36, (2), 659-677, 2004
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's equation with impulsive sources.
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  title={A sharp decay estimate for positive nonlinear waves},
  author={Alberto Bressan, and Tong Yang},
  booktitle={SIAM journal on mathematical analysis},
Alberto Bressan, and Tong Yang. A sharp decay estimate for positive nonlinear waves. 2004. Vol. 36. In SIAM journal on mathematical analysis. pp.659-677. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224210936434118527.
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