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Dimitra Kyriakopoulou

Publications and source records attributed to Dimitra Kyriakopoulou.

2 recordsLinked to original sources
arXiv2025

Extension of Boundary Control method to elliptic and parabolic problems, and its application to the Calderon problem

We show that Boundary Control method, a method for hyperbolic inverse problems, is also capable of dealing directly with certain classes of elliptic and parabolic Inverse Boundary Value Problems; thus pointing towards Boundary Control method potentially constituting a means of unification of Inverse Boundary Value Problems. As an application we show that the Calderon problem can be dealt with directly via Boundary Control method, i.e. without reduction of the elliptic problem to a 'hyperbolized' problem.

math.GM↗
arXiv2025

Polyhedral reconstruction via Boundary Control method

We study uniqueness of an elliptic Riemannian polyhedron using the elliptic version for Boundary Control method, which we presented in [1]. We also present interface detection criteria for hyperbolic Riemannian manifolds through introduction of the waveguide notion, the four-wave mixing notion, etc.

math.GM↗