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math.AP2021★ 1 cited
On characterization of Dirichlet-to-Neumann map of Riemannian surface with boundary
M. I. Belishev, D. V. Korikov
Let be a smooth compact orientable two-dimensional Riemannian manifold ({\it surface}) with a smooth metric tensor and smooth connected boundary . Its {\it DN-map} $…
math.AP2016
On Characterization of Inverse Data in the Boundary Control Method
Mikhail Belishev, Aleksei Vakulenko
We deal with a dynamical system \begin{align*} & u_{tt}-Δu+qu=0 && {\rm in}\,\,\,Ω\times (0,T)\\ & u\big|_{t=0}=u_t\big|_{t=0}=0 && {\rm in}\,\,\,\overline Ω\\ & \partial_νu = f &&…