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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,Inverse Resonance Problem for ?2-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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Geometric Methods in Inverse Problems and PDE Control

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Ray Transform and Some Rigidity Problems for Riemannian Metrics,ely related to inverse problems for kinetic and linear transport equations that are discussed in Section 3. In Section 4 we present some results on the nonlinear boundary rigidity problem whose derivation is based on stability estimates for the ray transform. Section 5 is devoted to the periodic ver

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0940-6573 ons, with particular emphasis on their strong relation to fundamental problems of geometry. Inverse coef- ficient problems for partial differential equations ar978-1-4419-2341-7978-1-4684-9375-7Series ISSN 0940-6573 Series E-ISSN 2198-3224

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Rigidity Theorems in Riemannian Geometry,int will be the boundary rigidity and conjugacy rigidity problems. These problems are connected to many other problems (Mostow-Margulis type rigidity, isopectral problems, isoperimetric inequalities etc.). We will restrict our attention to those results that have a direct connection to the boundary