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arXiv · 1409.0154

H\"older regularity of solutions for Schr\"odinger operators on stratified spaces

Kazuo Akutagawa·Gilles Carron·Rafe Mazzeo
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Abstract

We study the regularity properties for solutions of a class of Schr\"odinger equations $(\Delta + V) u = 0$ on a stratified space $M$ 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.

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Kazuo Akutagawa, Gilles Carron, Rafe Mazzeo. 2014-08-30. H\"older regularity of solutions for Schr\"odinger operators on stratified spaces. https://arxiv.org/abs/1409.0154

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