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  • 1
    Online Resource
    Online Resource
    Berlin/Boston : De Gruyter
    UID:
    gbv_1655225766
    Format: Online-Ressource (270 S.)
    Edition: Reproduktion 2001
    ISBN: 9783110940909 , 9789067643450
    Series Statement: Inverse and Ill-Posed Problems Series 24
    Content: Biographical note: Yurii E. Anikonov, Sobolev Institute of Mathematics, Russian Academy of Sciences, Russia.
    Content: This monographdeals with methods of studying multidimensional inverse problems for kinetic and other evolution equations, in particular transfer equations. The methods used are applied to concrete inverse problems, especially multidimensional inverse problems applicable in linear and nonlinear statements. A significant part of the book contains formulas and relations for solving inverse problems, including formulas for the solution and coefficients of kinetic equations, differential-difference equations, nonlinear evolution equations, and second order equations.
    Note: Description based upon print version of record , ""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"" , ""Chapter 2. Theorems of uniqueness for inverse problems for kinetic equations""""2.1. 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"" , ""3.3. Determining the dispersion index in the case of the P1-approximation""""3.4. 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"" , ""4.3. Integrodifferential equations in inverse problems of determining two coefficients for evolution equations""""4.4. 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"" , ""5.2. Formulas in inverse problems for difference-differential equations""""5.3. 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"" , In English
    Additional Edition: ISBN 9789067643450
    Additional Edition: Erscheint auch als Druck-Ausgabe Anikonov, Jurij Evgenʹevič Inverse problems for kinetic and other evolution equations Utrecht [u.a.] : VSP, 2001 ISBN 9067643459
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Kinetische Gleichung ; Inverses Problem ; Evolutionsgleichung ; Inverses Problem ; Electronic books
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
    URL: Cover
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Online Resource
    Online Resource
    Berlin/Boston :De Gruyter,
    UID:
    almafu_9958355312302883
    Format: 1 online resource(270p.) : , illustrations.
    Edition: Electronic reproduction. Berlin/Boston : De Gruyter, 2001. Mode of access: World Wide Web.
    Edition: System requirements: Web browser.
    Edition: Access may be restricted to users at subscribing institutions.
    ISBN: 9783110940909
    Series Statement: Inverse and Ill-Posed Problems Series; 24
    Content: This monographdeals with methods of studying multidimensional inverse problems for kinetic and other evolution equations, in particular transfer equations. The methods used are applied to concrete inverse problems, especially multidimensional inverse problems applicable in linear and nonlinear statements. A significant part of the book contains formulas and relations for solving inverse problems, including formulas for the solution and coefficients of kinetic equations, differential-difference equations, nonlinear evolution equations, and second order equations.
    Note: Frontmatter -- , Introduction -- , Contents -- , Chapter 1. Formulas for solutions and coefficients of kinetic and other equations -- , Chapter 2. Theorems of uniqueness for inverse problems for kinetic equations -- , Chapter 3. Spherical harmonic method and inverse problem for kinetic equations -- , Chapter 4. Inverse problems for evolution equations of determining two coefficients -- , Chapter 5. Some results of multidimensional inverse problems theory -- , Bibliography. , Also available in print edition. , In English.
    Additional Edition: ISBN 9789067643450
    Additional Edition: ISBN 9783111825991
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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  • 3
    Online Resource
    Online Resource
    Utrecht, The Netherlands ; : VSP,
    UID:
    almahu_9948322794402882
    Format: 1 online resource (278 pages) : , illustrations.
    ISBN: 9783110940909 (e-book)
    Series Statement: Inverse and ill-posed problems series
    Additional Edition: Print version: Anikonov, I︠U︡. E. Inverse problems for kinetic and other evolution equations. Utrecht, The Netherlands : VSP, 2001 ISBN 9789067643450
    Language: English
    Keywords: Electronic books.
    Library Location Call Number Volume/Issue/Year Availability
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  • 4
    Online Resource
    Online Resource
    Berlin ; : De Gruyter,
    UID:
    almahu_9949462271202882
    Format: 1 online resource (270 p.)
    Edition: Reprint 2014
    ISBN: 9783110940909 , 9783110238570
    Series Statement: Inverse and Ill-Posed Problems Series , 24
    Content: This monograph deals with methods of studying multidimensional inverse problems for kinetic and other evolution equations, in particular transfer equations. The methods used are applied to concrete inverse problems, especially multidimensional inverse problems applicable in linear and nonlinear statements. A significant part of the book contains formulas and relations for solving inverse problems, including formulas for the solution and coefficients of kinetic equations, differential-difference equations, nonlinear evolution equations, and second order equations.
    Note: Frontmatter -- , Introduction -- , Contents -- , Chapter 1. Formulas for solutions and coefficients of kinetic and other equations -- , Chapter 2. Theorems of uniqueness for inverse problems for kinetic equations -- , Chapter 3. Spherical harmonic method and inverse problem for kinetic equations -- , Chapter 4. Inverse problems for evolution equations of determining two coefficients -- , Chapter 5. Some results of multidimensional inverse problems theory -- , Bibliography , Issued also in print. , Mode of access: Internet via World Wide Web. , In English.
    In: DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
    In: DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
    In: DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
    Additional Edition: ISBN 9789067643450
    Language: English
    URL: Cover
    Library Location Call Number Volume/Issue/Year Availability
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