# Decay of periodic entropy solutions to degenerate nonlinear parabolic equations

## TL;DR

This paper proves that space-periodic entropy solutions to certain multidimensional degenerate nonlinear parabolic equations decay over time under specific nonlinearity-diffusivity conditions.

## Contribution

It establishes decay results for entropy solutions in multidimensional degenerate nonlinear parabolic equations under a precise nonlinearity-diffusivity condition.

## Key findings

- Entropy solutions decay over time
- Decay holds under specific nonlinearity-diffusivity conditions
- Results apply to multidimensional equations

## Abstract

Under a precise nonlinearity-diffusivity condition we establish the decay of space-periodic entropy solutions of a multidimensional degenerate nonlinear parabolic equation.