Welcome to CRCPress.com! We have customized the Taylor & Francis India website to host CRC Press titles. Please choose www.TandFIndia.com to get the following benefits:
South Asia Editions of CRC Press titles with INR prices
Multiple options to purchase locally
All CRC Press products available
Your CRC Press login credentials will work on TandFIndia.com
Garland Science Website Announcement
The Garland Science website is no longer available to access and you have been automatically redirected to CRCPress.com.
All instructor resources (*see Exceptions) are now available on our Instructor Hub. Your GarlandScience.com instructor credentials will not grant access to the Hub, but existing and new users may request access here.
The student resources previously accessed via GarlandScience.com are no longer available to existing or new users.
Inverse boundary problems are a rapidly developing area of applied mathematics with applications throughout physics and the engineering sciences. However, the mathematical theory of inverse problems remains incomplete and needs further development to aid in the solution of many important practical problems.
Inverse Boundary Spectral Problems develop a rigorous theory for solving several types of inverse problems exactly. In it, the authors consider the following:
"Can the unknown coefficients of an elliptic partial differential equation be determined from the eigenvalues and the boundary values of the eigenfunctions?"
Along with this problem, many inverse problems for heat and wave equations are solved.
The authors approach inverse problems in a coordinate invariant way, that is, by applying ideas drawn from differential geometry. To solve them, they apply methods of Riemannian geometry, modern control theory, and the theory of localized wave packets, also known as Gaussian beams. The treatment includes the relevant background of each of these areas.
Although the theory of inverse boundary spectral problems has been in development for at least 10 years, until now the literature has been scattered throughout various journals. This self-contained monograph summarizes the relevant concepts and the techniques useful for dealing with them.
Table of Contents
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.
Kachalov, Alexander; Kurylev, Yaroslav; Lassas, Matti
Most VitalSource eBooks are available in a reflowable EPUB format which allows you to resize text to suit you and enables other accessibility features. Where the content of the eBook requires a specific layout, or contains maths or other special characters, the eBook will be available in PDF (PBK) format, which cannot be reflowed. For both formats the functionality available will depend on how you access the ebook (via Bookshelf Online in your browser or via the Bookshelf app on your PC or mobile device).
CHOICE – Outstanding Academic Title – Award Winner
CHOICE – 2018 Outstanding Academic Title – Award Winner
Shingo Research and Professional Publication Award Winner
The country you have selected will result in the following:
Product pricing will be adjusted to match the corresponding currency.
The title will be removed from your cart because it is not available in this region.