On the boundary convergence of solutions to the Hermite-Schrödinger equation
Artikel i vetenskaplig tidskrift, 2010
In a half-space we consider the
Hermite Schrödinger equation with given boundary values.
We prove a formula that links the solution of this
problem to that of the classical Schrödinger equation.
It shows that mixed norm estimates for the Hermite- Schrödinger 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.