Formulas in inverse and ill-posed problems
著者
書誌事項
Formulas in inverse and ill-posed problems
（Inverse and ill-posed problems series）
VSP, 1997
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注記
Includes bibliographical references
内容説明・目次
内容説明
01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information.
目次
- Part 1 Equations and relations in inverse and ill-posed problems: general approach in a theory of multidimensional inverse problems
- control and inverse problems
- generating functions, evolution equation and inverse problems
- algebraic question on the theory of multidimensional inverse problems for non-linear evolution equations
- inverse problems for the Maxwell equation. Part 2 Formulas in inverse problems for evolution equations of the general type: inverse problem, formal results
- sufficient conditions for correctness of the formulas (2.3), (2.4)
- the formulas for solution of the inverse problem in bounded domain
- formulas in the inverse problem for a general evolution equation of the second order
- reduction of multidimensional inverse problems to initial-boundary value problems in Hilbert spaces
- reduction of more common inverse problems to initial-boundary value problems
- formulas in problems of determination of sources. Part 4 Formulas in inverse problems for the kinematic problems in seismology: inverse kinematic problem - some relations
- formulas for the ray and time
- integro-differential relations and the first integrals
- linear first integral quadratic first-integral generalization of the Herglotz formula
- integro-differential identities in the plane
- determination of the Riemann metric of a special form
- the problem associated with an equation for geodesics of the Liouville metric
- determination of a homogeneous functional. Part 3 Formulas in integral geometry and tomography. Part 4 The analytical representation of solutions of some inverse and ill-posed problems. Part 5 Mathematical models in the problems of ethnogeny and evolution of populations. (Part contents)
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