Methods for solving inverse problems in mathematical physics
著者
書誌事項
Methods for solving inverse problems in mathematical physics
（Monographs and textbooks in pure and applied mathematics, 231）
Marcel Dekker, c2000
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注記
Includes bibliographical references (p. 661-704) and index
内容説明・目次
内容説明
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.
目次
- 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.
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