# The $p$-Adic Scattering equation

## TL;DR

This paper explores the $p$-adic scattering equation, adapting classical entropy-based techniques to analyze the convergence of solutions within the $p$-adic framework.

## Contribution

It introduces a novel adaptation of entropy methods to the $p$-adic scattering equation for convergence analysis.

## Key findings

- Established convergence of solutions using adapted entropy techniques
- Extended classical PDE methods to the $p$-adic setting
- Provided new insights into $p$-adic scattering dynamics

## Abstract

There are several techniques in classical case for some PDEs, involving the concept of entropy to show convergence of solutions to a steady state. In this work we deal with the $p$-adic scattering equation and we try to adapt these methods to prove convergence of solutions.