Nonlinear wave equations with slowly decaying initial data
Analysis of PDEs
2026-05-20 v2
Abstract
New local smoothing estimates in Besov spaces adapted to the half-wave group are proved via -decoupling. We apply these estimates to obtain new well-posedness results for the cubic nonlinear wave equation in two dimensions. The results are compared to new well-posedness results in -based Sobolev spaces.
Cite
@article{arxiv.2203.06412,
title = {Nonlinear wave equations with slowly decaying initial data},
author = {Jan Rozendaal and Robert Schippa},
journal= {arXiv preprint arXiv:2203.06412},
year = {2026}
}
Comments
30 pages, revised version, accepted to JDE