On the boundary convergence of solutions to the Hermite–Schrödinger equation
On the boundary convergence of solutions to the Hermite–Schrödinger equation
In the half-space $\mathbb R^d \times \mathbb R_+$, consider the Hermite–Schrödinger equation $i\partial u/\partial t = - \Delta u + |x|^2 u$, with given boundary values on $\mathbb R^d$. We prove a formula that links the solution of this problem t