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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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Geometric Methods in Inverse Problems and PDE Control978-1-4684-9375-7Series ISSN 0940-6573 Series E-ISSN 2198-3224
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https://doi.org/10.1007/978-981-16-9767-8I discuss two general methods, namely Sunada’s method and a more recent method, due to Gordon and Schueth, for the construction of isospectral closed Riemannian manifolds. I prove a theorem unifying and extending the two methods and apply it to obtain isospectral metrics on .....
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Dwelling, Place and EnvironmentWe give a short survey of some of the results obtained within the last 10 years or so concerning crack identification using impedance imaging techniques. We touch upon uniqueness results, continuous dependence results, and computational algorithms.
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Energy Measurements and Equivalence of Boundary Data for Inverse Problems on Non-Compact Manifolds,The goal of this paper is to consider inverse problems with different types of boundary data given as boundary forms. In particular, the boundary measurements considered in this paper are related to the measurements of energy needed to force the boundary value of a physical field to a given one.
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Unique Continuation Problems for Partial Differential Equations,The aim of this article is to give an overview of the main problems and results in unique continuation. Broadly speaking, an unique continuation result is any statement of the following type:
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