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math.AP2007
Inverse spectral problems on a closed manifold
Katsiaryna Krupchyk, Yaroslav Kurylev, Matti Lassas
In this paper we consider two inverse problems on a closed connected Riemannian manifold . The first one is a direct analog of the Gel'fand inverse boundary spectral problem…
math.AP2007★ 2 cited
Inverse boundary spectral problem for Riemannian polyhedra
Anna Kirpichnikova, Yaroslav Kurylev
We consider an admissible Riemannian polyhedron with piece-wise smooth boundary. The associated Laplace defines the boundary spectral data as the set of eigenvalues and restriction…
math.AP2005★ 2 cited
Inverse Problems and Index Formulae for Dirac Operators
Yaroslav Kurylev, Matti Lassas
We consider a Dirac-type operator on a vector bundle over a compact Riemannian manifold with a nonempty boundary. The operator is specified by a boundary co…