Hölder regularity of solutions for Schrödinger operators on stratified spaces

2014/08/30 by Kazuo Akutagawa, Akutagawa, Kazuo, Gilles Carron +3
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1409.0154

arxiv created 2014/08/30 · arxiv updated 2014/09/02

Abstract

We study the regularity properties for solutions of a class of Schrödinger equations (Δ+ 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.

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