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- W1985890289 abstract "In the half-space $mathbb{R}^d times mathbb{R}_+$, we consider the Hermite-Schrodinger equation $ipartial u/partial t = - Delta u + |x|^2 u$, with given boundary values on $mathbb{R}^d$. We prove a formula that links the solution of this problem to that of the classical Schrodinger equation. It shows that mixed norm estimates for the Hermite-Schrodinger equation can be obtained immediately from those known in the classical case. In one space dimension, we deduce sharp pointwise convergence results at the boundary, by means of this link." @default.
- W1985890289 created "2016-06-24" @default.
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- W1985890289 date "2009-06-19" @default.
- W1985890289 modified "2023-09-27" @default.
- W1985890289 title "On the boundary convergence of solutions to the Hermite-Schrodinger equation" @default.
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