Inverse problems for kinetic and other evolution equations / Yu. E. Anikonov.

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Bibliographic Details
Online Access: Full Text (via ProQuest)
Main Author: Anikonov, I︠U︡. E. (I︠U︡riĭ Evgenʹevich) (Author)
Format: eBook
Language:English
Published: Utrecht : VSP, 2001.
Series:Inverse and ill-posed problems series.
Subjects:

MARC

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100 1 |a Anikonov, I︠U︡. E.  |q (I︠U︡riĭ Evgenʹevich),  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjv7RwDRfCPGvQbFMDJkXd 
245 1 0 |a Inverse problems for kinetic and other evolution equations /  |c Yu. E. Anikonov. 
264 1 |a Utrecht :  |b VSP,  |c 2001. 
300 |a 1 online resource 
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490 1 |a Inverse and ill-posed problems series 
504 |a Includes bibliographical references. 
588 0 |a Online resource; title from PDF title page (EBSCO, viewed July 11, 2017). 
505 0 |a Chapter 1. Formulas for solutions and coefficients of kinetic and other equations -- 1.1. Kinetic equations -- 1.2. Several formulas for solutions and coefficients of kinetic equations -- 1.3. Formulas in the inverse problems for kinetic equations with a potential -- 1.4. Formulas in tomography problems -- 1.5. Formulas of inverse problems for kinetic equation and integral geometry involving integration along geodesics -- 1.6. Differential and functional equations of inverse problems for nonlinear equations 
505 8 |a Chapter 2. Theorems of uniqueness for inverse problems for kinetic equations2.1. Inverse problem for a system of kinetic equations -- 2.2. Inverse problems for a system of quantum kinetic equations -- 2.3. On uniqueness of determination of a form by its integrals along geodesics -- 2.4. Dynamical model of the ethnic system. Formulas in direct and inverse problems -- Chapter 3. Spherical harmonic method and inverse problem for kinetic equations -- 3.1. Spherical harmonics method -- 3.2. Steady-state transfer equation 
505 8 |a 3.3. Determining the dispersion index in the case of the P1-approximation3.4. Definition of the dispersion index in the case of the P2-approximation -- 3.5. Reconstruction of the dispersion index and the source function -- Chapter 4. Inverse problems for evolution equations of determining two coefficients -- 4.1. Nonlocal boundary-value problems for nonlinear equations and inverse problems of determining two coefficients -- 4.2. Recurrent formulas on derivatives of solutions 
505 8 |a 4.3. Integrodifferential equations in inverse problems of determining two coefficients for evolution equations4.4. Inverse problem for a system of Maxwell equations -- 4.5. Determining two unknown coefficients of the parabolic-type equation -- 4.6. Inhomogeneous conditions of overdetermination -- 4.7. Representation of solutions and coefficients of partial differential equations of the second order -- Chapter 5. Some results of multidimensional inverse problems theory -- 5.1. Formulas for coefficients in inverse problems for general evolutionary equations 
505 8 |a 5.2. Formulas in inverse problems for difference-differential equations5.3. Inverse problem for evolutionary equations with degeneration and others -- 5.4. Group analysis and formulas in inverse problems of mathematical physics -- 5.5. Uniqueness of the solution of an integral equation of the first kind over real algebras with division of the finite dimension -- 5.6. Methods of geometry in the inverse seismic problem -- 5.7. Problems associated with projections of convex bodies onto planes -- Bibliography 
650 0 |a Evolution equations. 
650 0 |a Inverse problems (Differential equations) 
650 7 |a Evolution equations  |2 fast 
650 7 |a Inverse problems (Differential equations)  |2 fast 
758 |i has work:  |a Inverse problems for kinetic and other evolution equations (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGwfmkXKDVYK8fb4JjTv9C  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Anikonov, I︠U︡. E.  |t Inverse problems for kinetic and other evolution equations.  |d Utrecht, The Netherlands : VSP, 2001  |h 270 pages ; 25 cm.  |k Inverse and ill-posed problems series  |z 9789067643450  |w (DLC) 2001273585  |w (OCoLC)47153108 
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