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• W3089355323 abstract "We consider a model case for a strictly convex domain $Omegasubsetmathbb{R}^d$ of dimension $dgeq 2$ with smooth boundary $partialOmeganeqemptyset$ and we describe dispersion for the semi-classical Schrodinger equation with Dirichlet boundary condition. More specifically, we obtain the optimal fixed time decay rate for the linear semi-classical flow : a loss of $(frac ht)^{1/4}$ occurs with respect to the boundary less case due to repeated swallowtail type singularities. The result is optimal and implies corresponding Strichartz estimates." @default.
• W3089355323 created "2020-10-08" @default.
• W3089355323 creator A5084814130 @default.
• W3089355323 date "2020-09-28" @default.
• W3089355323 modified "2023-09-27" @default.
• W3089355323 title "Dispersive estimates for the semi-classical Schrödinger equation in a strictly convex domain" @default.
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