H\"older regularity of solutions for Schr\"odinger operators on stratified spaces
Differential Geometry
2014-09-02 v1
Abstract
We study the regularity properties for solutions of a class of Schr\"odinger equations on a stratified space endowed with an iterated edge metric. The focus is on obtaining optimal H\"older regularity of these solutions assuming fairly minimal conditions on the underlying metric and potential.
Keywords
Cite
@article{arxiv.1409.0154,
title = {H\"older regularity of solutions for Schr\"odinger operators on stratified spaces},
author = {Kazuo Akutagawa and Gilles Carron and Rafe Mazzeo},
journal= {arXiv preprint arXiv:1409.0154},
year = {2014}
}