Inverse Boundary Spectral Problems

ISBN-13: 9780367397050 / Angielski / Miękka / 2019 / 312 str.

Alexander Kachalov; Yaroslav Kurylev; Matti Lassas

Opis

Inverse boundary problems are a rapidly developing area of applied mathematics. Inverse boundary spectral problems (IBSP) constitute an important and distinct part of the field because of the special character 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 ISBP has been in development for at least 10 years, this book was published, the literature had been scattered throughout various journals. This self-contained monograph summarizes 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