| |

HomeUpJournalsBooksSubjectsSearchIndexOrdering

Inverse Problems for Kinetic and Other Evolution Equations

Inverse and Ill-Posed Problems Series

Contents:

Introduction
CHAPTER 1. FORMULAS FOR SOLUTIONS AND COEFFICIENTS OF KINETIC ANDOTHER EQUATIONS
Kinetic equations
Several formulas for solutions and coefficients of kinetic equations
Formulas in the inverse problems for kinetic equations with apotential
Formulas in tomography problems
Formulas of inverse problems for kinetic equation and integralgeometry involving integration along geodesics
Differential and functional equations of inverse problems fornonlinear equations
CHAPTER 2. THEOREMS OF UNIQUENESS FOR INVERSE PROBLEMS FOR KINETICEQUATIONS
Inverse problem for a system of kinetic equations
Inverse problem for a system of quantum kinetic equations
On uniqueness of determination of a form by its integrals alonggeodesics
Dynamical model of the ethnic system. Formulas in direct and inverseproblems
CHAPTER 3. SPHERICAL HARMONIC METHOD AND INVERSE PROBLEM FOR KINETICEQUATIONS
Spherical harmonic method
Steady-state transfer equation
Determining the dispersion index in the case of the P1-approximation
Definition of the dispersion index in the case of the P2-approximation
Reconstruction of the dispersion index and the source function
CHAPTER 4. INVERSE PROBLEMS FOR EVOLUTION EQUATIONS OF DETERMININGTWO COEFFICIENTS
Nonlocal boundary-value problems for nonlinear equations and inverseproblems of determining two coefficients
Recurrent formulas on derivatives of solutions
Integrodifferential equations in inverse problems of determining twocoefficients for evolution equations
Inverse problem for a system of Maxwell equations
Determining two unknown coefficients of the parabolic-type equation
Inhomogeneous conditions of overdetermination
Representation of solutions and coefficients of partial differentialequations of the second order
CHAPTER 5. SOME RESULTS OF MULTIDIMENSIONAL INVERSE PROBLEMS THEORY
Formulas for coefficients in inverse problems for generalevolutionary equations
Formulas in inverse problems for difference-differential equations
Inverse problems for evolutionary equations with degeneration andothers
Group analysis and formulas in inverse problems of mathematicalphysics
Uniqueness of the solution of an integral equation of the first kindover real algebras with division of the finite dimension
Methods of geometry in the inverse seismic problem
Problems associated with projections of convex bodies onto planes
Bibliography

2001; viii+270 pages
ISBN 90-6764-345-9
Price (all prices are subject to change without notice): EUR 194/US$ 277

HomeUpJournalsBooksSubjectsSearchIndexOrdering

VSPPostal address: P.O. Box 9000, 2300 PA Leiden, The Netherlands
Office address: Plantijnstraat 2, 2321 JC Leiden, The Netherlands
Tel: +31 71 535 3500, Fax: +31 71 531 7532
E-mail: vsppub@brill.nl

| |