On decay of entropy solutions to degenerate nonlinear parabolic equations with perturbed periodic initial data

2022/03/22 by Evgeny Yu. Panov, Panov, Evgeny Yu.
Engineering · Mathematics · #35B10 #35B40 #35K55 #35K65 #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2203.12051

openalex publication_date 2022/03/22 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

Under a precise nonlinearity-diffusivity assumption we establish the decay of entropy solutions of a degenerate nonlinear parabolic equation with initial data being a sum of periodic function and a function vanishing at infinity (in the sense of measure).

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