Hölder regularity of solutions for Schrödinger operators on stratified spaces

preprint2014arXivOpen access

Abstract

We study the regularity properties for solutions of a class of Schrödinger equations (Δ+V)u=0(Δ+ V) u = 0 on a stratified space MM 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.

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