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Solution of a transport equation with discontinuous coefficients

Das Abhishek, Joseph K. T.

Journal of Applied Analysis

2021

Vol. 27, nr 2

219--238

In this article, we study initial and initial-boundary value problems for a non-strictly hyperbolic system whose characteristic speed is not smooth and takes values in {−1, 0, 1}. We construct an explicit formula for the weak solution.We also study the interaction of waves and the large time asymptotic behavior of a solution for the case when the initial data is periodic with zero mean over the period and also for the case when the initial data has compact support.