∂-Neumann Problem in the Sobolev Topology

1996/11/08 by Luigi Fontana, Fontana, Luigi, Steven G. Krantz +3
Mathematics · #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical Approximation and Integration #Spectral Theory in Mathematical Physics #math.CV

paper · pdf · doi:10.48550/arxiv.math/9611211

arxiv created 1996/11/08 · openalex publication_date 1996/11/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the ∂-Neumann problem using the Sobolev space inner product. We show that the problem can be solved on any smoothly bounded, pseudoconvex domain. We further formulate estimates and the basic results of a Sobolev Hodge theory.

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