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arxiv: 1409.0154 · v1 · pith:HTSNMKHSnew · submitted 2014-08-30 · 🧮 math.DG

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

classification 🧮 math.DG
keywords regularitysolutionsmetricodingerolderschrstratifiedassuming
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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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