2008/04/24 by Gennadi Henkin, Vincent Michel, Henkin, Gennadi +1
Mathematics · #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #math.AP #math.CV
paper · pdf · doi:10.48550/arxiv.0804.3951
arxiv created 2008/04/24 · openalex publication_date 2008/04/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An electrical potential U on a bordered Riemann surface X with conductivity function sigma>0 satisfies equation d(sigma dcU)=0. The problem of effective reconstruction of sigma is studied. We extend to the case of Riemann surfaces the reconstruction scheme given, firstly, by R.Novikov (1988) for simply connected X. We apply for this new kernels for dbar on affine algebraic Riemann surfaces constructed in Henkin, arXiv:0804.3761