Prefer a chat interface with context about you and your work?
On the equivalence of Green functions for general Schrödinger operators on a half-space
We consider the general Schr{ö}dinger operator $L=\mathop {\rm div}\nolimits (A(x)\nabla _x)- \mu $ on a half-space in $ {{\mathbb R}}^n$, $ n\geq 3$. We prove that the $L$-Green function $G$ exists and is comparable to the Laplace–Green function $G