Methods for solving inverse problems in mathematical physics
Author(s)
Bibliographic Information
Methods for solving inverse problems in mathematical physics
(Monographs and textbooks in pure and applied mathematics, 231)
Marcel Dekker, c2000
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Note
Includes bibliographical references (p. 661-704) and index
Description and Table of Contents
Description
Developing an approach to the question of existence, uniqueness and stability of solutions, this work presents a systematic elaboration of the theory of inverse problems for all principal types of partial differential equations. It covers up-to-date methods of linear and nonlinear analysis, the theory of differential equations in Banach spaces, applications of functional analysis, and semigroup theory.
Table of Contents
- Inverse problems for equations of parabolic type
- inverse problems for equations of hyperbolic type
- inverse problems for equations of elliptic type
- inverse problems in dynamics of viscous incompressible fluid
- some topics from functional analysis and operator theory
- abstract inverse problems for first order equations and their applications in mathematical physics
- two-point inverse problems for first order equations
- inverse problems for equations of second order
- applications of the theory of abstract inverse problems to partial differential equations
- concluding remarks.
by "Nielsen BookData"