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Analysis and boundary value problems on singular domains: An approach via bounded geometry

Ammann, Bernd ; Große, Nadine ; Nistor, Victor



Abstract

We prove well-posedness and regularity results for elliptic boundary value problems on certain singular domains that are conformally equivalent to manifolds with boundary and bounded geometry. Our assumptions are satisfied by the domains with a smooth set of singular cuspidal points, and hence our results apply to the class of domains with isolated oscillating conical singularities. In ...

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