Unique Continuation for Quasimodes on Surfaces of Revolution: Rotationally invariant Neighbourhoods
DOI: 10.5802/AIF.2969
关键词: Analytic manifold 、 Mathematics 、 Semiclassical physics 、 Bounded function 、 Laplace transform 、 Upper and lower bounds 、 Continuation 、 Invariant (mathematics) 、 Mathematical analysis 、 Surface of revolution
摘要: We prove a strong conditional unique continuation estimate for irreducible quasimodes in rotationally invariant neighbourhoods on compact surfaces of revolution. The states that Laplace which cannot be decomposed as sum other have L mass bounded below by Cǫλ any ǫ > 0 open neighbourhood meets the semiclassical wavefront set quasimode. For an analytic manifold, we conclude same with lower bound Cδλ −1+δ some fixed δ 0.
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