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Titlebook: Geometric Methods in Inverse Problems and PDE Control; Christopher B. Croke,Michael S. Vogelius,Irena Las Conference proceedings 2004 Spri

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Ray Transform and Some Rigidity Problems for Riemannian Metrics,arises in the linearization of the boundary rigidity problem which is discussed in Section 1. In Section 2 we introduce a class of Riemannian manifolds, convex non-trapping manifolds (CNTM), for which the ray transform can be defined in a very natural way. In the case of positive rank tensor fields,
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The Cauchy Data and the Scattering Relation,e inverse problem of determining a metric of a Riemannian manifold (with boundary) from the dynamic Dirichlet-to-Neumann map associated with the wave equation. Although these results are very satisfactory it requires too much information. By just looking at the singularities of the dynamic Dirichlet
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,Inverse Resonance Problem for ℤ2-Symmetric Analytic Obstacles in the Plane,les. It is the analogue for exterior domains of the proof that a mirror symmetric bounded simply connected analytic plane domain is determined by its Dirichlet eigenvalues. The proof uses ‘interior/exterior duality’ to simplify the argument.
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el of its numerous - searchers. The decision to organize the 1908 International Congress of Mathematicians in Rome (after those in Paris and Heidelberg) confirmed this position. Qualified Italian universities were permanently included in the tour organized for young mathematicians’ improvement. Even
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