About the wave equation outside two strictly convex obstacles

D Lafontaine - Communications in Partial Differential Equations, 2022 - Taylor & Francis
We prove global Strichartz estimates without loss for the wave equation outside two strictly
convex obstacles, following the road-map previously introduced by the author for the …

About the wave equation outside two strictly convex obstacles

D Lafontaine - arXiv preprint arXiv:1711.09734, 2017 - arxiv.org
We prove global Strichartz estimates without loss for the wave equation outside two strictly
convex obstacles, following the roadmap introduced in [Lafontaine, 2017] for the Schr\" …

Construction of solitary wave solution of the nonlinear focusing schr\"odinger equation outside a strictly convex obstacle for the -supercritical case

O Landoulsi - arXiv preprint arXiv:1912.00162, 2019 - arxiv.org
We consider the focusing $ L^ 2$-supercritical Schr\" odinger equation in the exterior of a
smooth, compact, strictly convex obstacle. We construct a solution behaving asymptotically …

Dynamique en temps long et en temps fini de l'équation de schrödinger non-linéaire en dehors d'un obstacle

O Landoulsi - 2020 - theses.hal.science
Cette thèse est consacrée à l'étude de la dynamique de l'équation de Schrödinger non-
linéaire (NLS) focalisante en dehors d'un obstacle compact et convexe, avec des conditions …