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arxiv: 1711.09734 · v2 · pith:EMUVER4Vnew · submitted 2017-11-27 · 🧮 math.AP

About the wave equation outside two strictly convex obstacles

David Lafontaine This is my paper
classification 🧮 math.AP
keywords equationconvexobstaclesoutsideprovescatteringstrictlywave
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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\"odinger 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.

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  1. On scattering and profile decomposition for critical nonlinear waves outside weakly trapping obstacles

    math.AP 2026-04 unverdicted novelty 8.0

    Scattering is shown for critical defocusing waves outside weakly trapping obstacles via infinite-time linear and nonlinear profile decompositions, assuming global Strichartz estimates, weak non-trapping, no reconcentr...