Decay of positive waves for 𝑛×𝑛 hyperbolic systems of balance laws

Goatin, Paola; Gosse, Laurent

doi:10.1090/S0002-9939-04-07315-0

Decay of positive waves for $n \times n$ hyperbolic systems of balance laws
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by Paola Goatin and Laurent Gosse PDF

Proc. Amer. Math. Soc. 132 (2004), 1627-1637 Request permission

Abstract:

We prove Oleĭnik-type decay estimates for entropy solutions of $n\times n$ strictly hyperbolic systems of balance laws built out of a wave-front tracking procedure inside which the source term is treated as a nonconservative product localized on a discrete lattice.

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