Almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems in two space dimensions
Analysis of PDEs
2025-08-13 v2
Abstract
We prove almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems with small and localized data in two space dimensions. We assume only mild decay on the data at infinity as well as minimal regularity. We systematically investigate all the possible quadratic null form type quasilinear strong coupling nonlinearities, and provide a new, robust approach for the proof. In a second paper we will complete the present results to full global well-posedness.
Keywords
Cite
@article{arxiv.1910.12673,
title = {Almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems in two space dimensions},
author = {Mihaela Ifrim and Annalaura Stingo},
journal= {arXiv preprint arXiv:1910.12673},
year = {2025}
}
Comments
52 pages, 2 figures. Fixed minor typos, added a proof for an interpolation lemma, now part of the Appendix