About the wave equation outside two strictly convex obstacles

2017/11/27 by David Lafontaine, Lafontaine, David
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1711.09734

openalex publication_date 2017/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 Schrödinger equation. Moreover, we show a first step toward the large data scattering for the critical non linear equation associated to this geometrical setting, and prove the scattering for a class of non trapping obstacles close to the two convex framework.

Related

• Strichartz estimates without loss outside many strictly convex obstacles
• Global Strichartz Estimates for Solutions to the Wave Equation Exterior to a Convex Obstacle
• Strichartz estimates without loss outside two strictly convex obstacles
• On the Schrodinger equation outside strictly convex obstacles
• Strichartz estimates for the wave equation in a strictly convex domain