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Dispersive estimates for the semi-classical Schrödinger equation inside a strictly convex domain

Recent developments in microlocal analysis October 14, 2019 - October 18, 2019

October 16, 2019 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Oana Ivanovici (Sorbonne University)
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • Schrödinger

  • dispersion estimates

Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

We consider the semiclassical Schrdinger equation inside a model strictly convex domain and we obtain dispersion estimates for the linear flow; we highlight a 1/4 loss compared to the flat case.
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