A comment about the existence of a weak solution for a non linear wave equation damped propagation

TL;DR

This paper proves the existence of a weak solution for a nonlinear damped wave equation's initial-value problem, contributing to the mathematical understanding of such equations.

Contribution

It provides a rigorous proof of weak solution existence for a specific nonlinear damped wave equation, advancing theoretical knowledge.

Findings

Existence of weak solutions established

Mathematical framework for nonlinear damped waves developed

Proof techniques applicable to similar PDEs

Abstract

We give a proof for the existence of a weak solution on the initial-value problem of a non-linear damped propagation