Almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems in two space dimensions

Ifrim, Mihaela  ; Stingo, Annalaura

Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e131

Résumé

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.A key feature of the paper is our new, robust approach to the vector field method, which enables us to work at minimal regularity and decay in a quasilinear setting, and which, we believe, can be applied for a much wider class of problems.

Détail

DOI : 10.1017/fms.2025.10081

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