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math.APAug 9, 2018
5
citations (OpenAlex)
authors
  • R. G. Novikov
  • I. A. Taimanov
institutions
  • Centre de Mathématiques Appliquées de l'École polytechnique
  • Centre de Mathématiques Laurent Schwartz
  • Centre National de la Recherche Scientifique
  • École Polytechnique
  • Novosibirsk State University
  • Siberian Branch of the Russian Academy of Sciences
  • Sobolev Institute of Mathematics
arXiv abstractPDF
paper

Darboux-Moutard transformations and Poincare-Steklov operators

arXiv:1808.03236 · doi:10.1134/S0081543818060160

Abstract

Formulas relating Poincare-Steklov operators for Schroedinger equations related by Darboux-Moutard transformations are derived. They can be used for testing algorithms of reconstruction of the potential from measurements at the boundary.

13 pages

References in corpus (6)

  • Two-dimensional rational solitons and their blow-up via the Moutard transformation
  • Moutard transform for the generalized analytic functions
  • Generalized analytic functions, Moutard-type transforms and holomorphic maps
  • Moutard transform approach to generalized analytic functions with contour poles
  • Moutard type transformation for matrix generalized analytic functions and gauge transformations
  • Moutard transform for the conductivity equation

Cited by in corpus (1)

  • Moutard transform for the conductivity equation
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