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arxiv: 1105.5996 · v2 · pith:TLRDRIA7new · submitted 2011-05-30 · 🧮 math.AP · math-ph· math.MP

Semi-classical dispersive estimates

classification 🧮 math.AP math-phmath.MP
keywords dispersiveestimatesperturbationssemi-classicalapplicationsassociateddependingelliptic
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We prove dispersive estimates for the wave and Schrodinger groups associated to a second-order elliptic self-adjoint operator depending on a semi-classical parameter. Applications are made to non-trapping metric perturbations and to perturbations by a magnetic potential.

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