Abstract

We investigate behavior of the support and decay for large times of nonnegative entropy solutions of the Cauchy problem: ∂ tu+ 1 m ∂ x(u m)=− p in(0, ∞)× R , u=u 0 in{0, ∞}× R Here m > 1, p > 1, and u 0 has compact support. Sharp estimates are given studying the Riemann problem and using comparison results.

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