ec 2 00 4 Boundary Regularity for the ∂̄ b - Neumann Problem , Part 1

نویسنده

  • Robert K. Hladky
چکیده

We establish sharp regularity and Fredholm theorems for the ∂̄b-Neumann problem on domains satisfying some non-generic geometric conditions. We use these domains to construct explicit examples of bad behaviour of the Kohn Laplacian: it is not always hypoelliptic up to the boundary, its partial inverse is not compact and it is not globally subelliptic.

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تاریخ انتشار 2008