Properties of Solutions of a Class of Hypocomplex Vector Fields

2015/11/06 by C. Campana, Campana, C., P. L. Dattori Da Silva +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Nonlinear Waves and Solitons #math.AP

paper · pdf · doi:10.48550/arxiv.1511.02098

arxiv created 2015/11/06 · openalex publication_date 2015/11/06 · arxiv updated 2015/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Cauchy type integral operator is associated to a class of integrable vector fields with complex coefficients. Properties of the integral operator are used to deduce Holder solvability of semilinear equations and a strong similarity principle is established.

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