The Neumann Problem and Helmholtz Decomposition in Convex Domains

2010/01/05 by Jun Geng, Geng, Jun, Zhongwei Shen +1 · 1 citation
Computer Science · Mathematics · #35J25 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1001.0778

openalex publication_date 2010/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the Neumann problem for Laplace's equation in a convex domain Ω with boundary data in L^p(∂Ω) is uniquely solvable for 1

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