Gaussian Beams and Inverse Boundary Spectral Problems

Autor:	Matti Lassas, Alexander Katchalov
Rok vydání:	2004
Předmět:	010102 general mathematics Spectrum (functional analysis) Mathematical analysis Inverse Boundary (topology) Eigenfunction Inverse problem 01 natural sciences Manifold 010101 applied mathematics Elliptic operator Operator (computer programming) 0101 mathematics Mathematics
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:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::896f3b773d8f4b5f60bc0fe9643760ca https://doi.org/10.1007/978-3-662-08966-8_4 Zobrazit plný text záznamu