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

Evgeny Yu. Panov

Novgorod State University, Veliky Novgorod, Russian Federation, Peoples’ Friendship, University of Russia (RUDN University), Moscow, Russian Federation

E-mail Address: Eugeny.Panov@novsu.ru

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https://doi.org/10.1142/S0219891622500023Cited by:1 (Source: Crossref)

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).

Communicated by P. G. LeFloch

Keywords:

AMSC: 35L65, 35B10, 35B40

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