A strong uniqueness theorem for planar vector fields

2001/09/07 by S. Berhanu, Berhanu, S., Jorge Hounie +2
Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP #math.CV

paper · pdf · doi:10.48550/arxiv.math/0109055

13 pages

arxiv created 2001/09/07 · openalex publication_date 2001/09/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This work establishes a strong uniqueness property for a class of planar locally integrable vector fields. A result on pointwise convergence to the boundary value is also proved for bounded solutions.

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