On decay of entropy solutions to multidimensional conservation laws in the case of perturbed periodic initial data

2020/10/17 by Panov, Evgeny Yu.
#35L65 35B40 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2010.08752

Abstract

Under a precise genuine nonlinearity assumption we establish the decay of entropy solutions of a multidimensional scalar conservation law with merely continuous flux and with initial data being a sum of periodic function and a function vanishing at infinity (in the sense of measure).

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