Gaussian Beams and Inverse Boundary Spectral Problems
Autor: | Matti Lassas, Alexander Katchalov |
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Rok vydání: | 2004 |
Předmět: | |
Zdroj: | New Analytic and Geometric Methods in Inverse Problems ISBN: 9783642073793 University of Helsinki |
DOI: | 10.1007/978-3-662-08966-8_4 |
Popis: | In these lectures we consider inverse boundary spectral problems for elliptic operators on manifolds. This means the reconstruction of an unknown manifold and an elliptic operator on it from the knowledge of the boundary spectral data, i.e. the spectrum of the operator and normal derivatives of the normalized eigenfunctions on the boundary. Before we formulate and solve this problem in exact terms, we explain why the manifolds appear in the study of the inverse problems. |
Databáze: | OpenAIRE |
Externí odkaz: |
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