On relations between spectral and dynamical inverse data

DOI10.1515/JIIP.2001.9.6.547zbMath0992.35114OpenAlexW1967395878MaRDI QIDQ2784190

Mikhail I. Belishev

Publication date: 11 September 2002

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2001.9.6.547

zbMATH Keywords

Laplaciancompact Riemanman manifolddynamical Dirichlet-to-Neumann map

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (8)

On the reconstruction of a Riemannian manifold from boundary data: the theory and plan of a numerical experiment ⋮ Relationship between different types of inverse data for the one-dimensional Schrödinger operator on a half-line ⋮ Unique continuation for the elastic transversely isotropic dynamical systems and its application ⋮ The dynamical Lame system: regularity of solutions, boundary controllability and boundary data continuation ⋮ Inverse problems for finite Jacobi matrices and Krein-Stieltjes strings ⋮ Inverse problem for dynamical system associated with Jacobi matrices and classical moment problems ⋮ Relation between data of dynamic and spectral inverse problems ⋮ Inverse problem for the Schrödinger equation with non-self-adjoint matrix potential

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