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Inverse conductivity problem on Riemann surfaces

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 نشر من قبل Gennadi Henkin
 تاريخ النشر 2008
  مجال البحث
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 تأليف Gennadi Henkin




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An electrical potential U on a bordered Riemann surface X with conductivity function sigma>0 satisfies equation d(sigma d^cU)=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



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