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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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21#
發(fā)表于 2025-3-25 04:22:27 | 只看該作者
22#
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23#
發(fā)表于 2025-3-25 14:54:47 | 只看該作者
Norman H. Anderson,Margaret A. Armstrongint 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
24#
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25#
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26#
發(fā)表于 2025-3-26 01:16:23 | 只看該作者
Sayan Ray,Sanjoy Sanyal,Pulak Senguptae 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
27#
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28#
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29#
發(fā)表于 2025-3-26 16:39:42 | 只看該作者
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.
30#
發(fā)表于 2025-3-26 20:07:26 | 只看該作者
The Case for Differential Geometry in the Control of Single and Coupled PDEs: The Structural Acoustd as follows: we intend to provide a relatively updated survey (subject to space limitations) of results on . and . of certain general classes of single Partial Differential Equations as well as of classes of systems of coupled PDEs (in dimension strictly greater than one), that have become available in recent years ..
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