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- W119182852 abstract "This thesis mainly concerns the dispersive properties of Schrodinger equations with certain potentials, and some of their consequences.First, we consider the charge transfer models in R^n with n > 2. In this case, the potential is a sum of several individual real-valued potentials, each moving with constant velocities. We get an L^1 to L^infty estimate for the evolution and the asymptotic completeness of the evoution in any Sobolev space.Second, we derive the L^1 to L^infty estimate for the Schrodinger operators with a Lame potential. The Lame potential is spatially periodic and its spectrum has the structure of finite bands. We obtain a dispersive estimate with a decay rate t^{-1/3}." @default.
- W119182852 created "2016-06-24" @default.
- W119182852 creator A5011689398 @default.
- W119182852 date "2005-01-01" @default.
- W119182852 modified "2023-09-27" @default.
- W119182852 title "Dispersive Properties of Schrödinger Equations" @default.
- W119182852 doi "https://doi.org/10.7907/egnb-fz41." @default.
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