Hölder regularity of solutions for Schrödinger operators on stratified spaces

Abstract

We study the regularity properties for solutions of a class of Schrödinger equations $(\Delta +V)u=0$ on a stratified space $M$ endowed with an iterated edge metric. The focus is on obtaining optimal Hölder regularity of these solutions assuming fairly minimal conditions on the underlying metric and potential.

Cited by in corpus (1)

• On static three-manifolds with positive scalar curvature