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

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).

arXiv commentarXiv admin note: substantial text overlap with arXiv:2010.08752