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The partial derivative-Neumann problem on the intersection of two weakly q-convex domains
Journal article   Peer reviewed

The partial derivative-Neumann problem on the intersection of two weakly q-convex domains

Shaban Khidr and Salomon Sambou
Ricerche di matematica
26/03/2021

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We establish some functional analytic properties for the partial derivative-Neumann operator N-s on the intersection of two bounded weakly q-convex domains with C-2-boundaries in C-n. Attention is focussed on questions of L-2-existence and compactness of N-s for all s >= q. Sobolev and boundary regularity for the partial derivative-equation are consequently achieved.

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