Decay of Positive Waves for $n \times n$ Hyperbolic Systems of Balance Laws

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

10.1090/S0002-9939-04-07315-0

We prove Ole\u \i nik-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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