Inverse Boundary Spectral Problems

ISBN-13: 9781584880059 / Angielski / Twarda / 2001 / 260 str.

Alexander P. Kachalov; Yaroslav V. Kurylev; Matti Lassas

Opis

Inverse boundary problems are a rapidly developing area of applied mat hematics, and inverse boundary spectral problems (IBSP) constitute an important and distinct part of the field because of the special charac ter of the data involved, the specific methods used to deal with that data, and their relevance to applications, including medical imaging and geophysical prospecting. Although the theory of IBSP has been in d evelopment for at least 10 years, until now the literature has been sc attered throughout various journals. This self-contained monograph sum marizes IBSP concepts and the techniques useful for dealing with them.

Spis treści

One-Dimensional Problem. Basic Geometrical and Analytical Methods for Inverse Problems. Gel'fand Inverse Boundary Spectral Problem for Manifolds. Inverse Problems for Wave and other Types of Equations. Bibliography. Table of Notation.

O autorze

Kachalov, Alexander; Kurylev, Yaroslav; Lassas, Matti