Pointwise convergence of the Klein-Gordon flow
Analysis of PDEs
2024-02-16 v1
Abstract
We consider the PDEs version of the Carleson problem in the context of the cubic nonlinear Klein-Gordon equation. This means that we aim to establish the lowest regularity class for which one has almost everywhere pointwise convergence of the solutions to the initial data, as . We prove sharp results for initial data in Sobolev spaces and for their randomized counterparts.
Keywords
Cite
@article{arxiv.2402.10105,
title = {Pointwise convergence of the Klein-Gordon flow},
author = {Renato Lucà and Pablo Merino},
journal= {arXiv preprint arXiv:2402.10105},
year = {2024}
}