# Energy decay for evolution equations with glassy type memory

## TL;DR

This paper investigates the energy decay behavior of integro-differential evolution equations with a novel class of glassy memory kernels, providing explicit estimates linking kernel decay to energy decay.

## Contribution

It introduces analysis of a new class of glassy memory kernels and derives explicit relationships between kernel decay rates and energy decay.

## Key findings

- Established energy decay estimates for glassy memory kernels
- Derived explicit formulas connecting kernel decay constants to energy decay
- Extended understanding of memory effects in evolution equations

## Abstract

In this paper, we address the question of estimating the energy decay of integro-differential evolution equations with glassy memory. This class of memory kernel was not analyzed in previous studies. Moreover, a detailed analysis provides an explicit estimate of the connection between the kernel function's decay constant and the energy's decay constant.