Hölder regularity of solutions for Schrödinger operators on stratified spaces

摘要

We study the regularity properties for solutions of a class of Schr"odingerequations $(Delta + V) u = 0$ on a stratified space $M$ endowed with aniterated edge metric. The focus is on obtaining optimal H"older regularity ofthese solutions assuming fairly minimal conditions on the underlying metric andpotential.