# Threshold phenomenon for homogenized fronts in random elastic media

## TL;DR

This paper studies how interfaces evolve in random elastic media using fractional PDEs, demonstrating a pinning phenomenon and its implications for homogenization processes.

## Contribution

It introduces a new analysis of interface behavior in random media through fractional PDEs, revealing a pinning effect and advancing homogenization theory.

## Key findings

- Identification of pinning phenomena in fractional PDE models
- Application of pinning results to homogenization processes
- Insights into interface evolution in random elastic media

## Abstract

We investigate the behaviour of solutions of a fractional semilinear partial differential equation that models the evolution of an interface in a random medium. We show a pinning result and apply it to the related homogenizing process.