Global existence for defocusing cubic NLS and Gross-Pitaevskii equations in three dimensional exterior domains

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121604We prove global wellposedness in the energy space of the defocusing cubic nonlinear Schroedinger and Gross-Pitaevskii equations on the exterior of a non-trapping domain in dimension 3. The main ingredient is a Strichartz estimate obtained combining a semi-classical Strichartz estimate with a smoothing effect on exterior domains.Analysis of PDEsGlobal existence for defocusing cubic NLS and Gross-Pitaevskii equations in three dimensional exterior domainstext