About the Wave Equation Outside Two Strictly Convex Obstacles
Communications in partial differential equations(2021)
摘要
Abstract 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 Schrödinger equation. Moreover, we show a first step towards 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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关键词
Exterior domain,Morawetz estimates,Strichartz estimates,scattering,Trapping,Wave equation
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