On dispersive estimates for one-dimensional Klein-Gordon equations

TL;DR

This paper advances the understanding of dispersive decay in 1D Klein-Gordon equations by introducing a new method that strengthens decay estimates and relaxes potential assumptions.

Contribution

It presents a novel approach that improves decay results and reduces restrictions on the potential in one-dimensional Klein-Gordon equations.

Findings

Enhanced decay estimates in stronger norms.

Weakened assumptions on the potential.

New analytical techniques for dispersive analysis.

Abstract

We improve previous results on dispersive decay for 1D Klein- Gordon equation. We develop a novel approach, which allows us to establish the decay in more strong norms and weaken the assumption on the potential.