A Simple Example of Localized Parametric Resonance for the Wave Equation
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چکیده
Constructions on unbounded domains are more difficult as energy tends to radiate to infinity. It tends to leave the domain where the periodic variations can be amplifying. The examples we know use a ray, trapped by reflection or refraction ([C1], [C3], [CR], [PR]). The paper [PR] gives a definitive analysis for rays trapped by reflection using fine tools from microlocal analysis. [CR] has no boundaries but a ray trapped by refraction. This paper is a construction along those lines.
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تاریخ انتشار 2007