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  • 1
    Online Resource
    Online Resource
    Amsterdam ; New York : North-Holland Pub. Co | New York : sole distributors for the U.S.A. and Canada, Elsevier North-Holland
    UID:
    b3kat_BV036962684
    Format: 1 Online-Ressource (xxiv, 700 p.) , 23 cm
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 0444851720 , 9780444851727
    Series Statement: Studies in mathematics and its applications v. 5
    Note: Includes bibliographies
    Additional Edition: Reproduktion von Asymptotic analysis for periodic structures 1978
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Randwertproblem ; Numerisches Verfahren ; Asymptotische Entwicklung ; Partielle Differentialgleichung
    URL: Volltext  (Deutschlandweit zugänglich)
    Author information: Papanicolaou, George 1943-
    Author information: Bensoussan, Alain 1940-
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  • 2
    UID:
    almafu_BV002256530
    Format: XXIV, 700 S.
    ISBN: 0-444-85172-0
    Series Statement: Studies in mathematics and its applications. 5.
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-1-4704-1581-5
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    RVK:
    Keywords: Randwertproblem ; Numerisches Verfahren ; Asymptotische Entwicklung ; Partielle Differentialgleichung
    Author information: Papanicolaou, George 1943-
    Author information: Bensoussan, Alain 1940-
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  • 3
    UID:
    kobvindex_ZIB000004456
    Format: 700 S.
    ISBN: 0-444-85172-0
    Series Statement: Studies in Mathematics and its Applications 5
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  • 4
    Online Resource
    Online Resource
    Amsterdam ; : North-Holland Pub. Co. ;
    UID:
    edocfu_9958120026602883
    Format: 1 online resource (725 p.)
    ISBN: 1-281-79361-2 , 9786611793616 , 0-08-087526-2
    Series Statement: Studies in mathematics and its applications ; v. 5
    Content: Asymptotic Analysis for Periodic Structures
    Note: Description based upon print version of record. , Front Cover; Asymptotic Analysis for Periodic Structures; Copyright Page; TABLE OF CONTENTS; Introduction; Chapter 1. Elliptic Operators; 1. Setting of the ""model"" problem; 2. Asymptotic expansions; 3. Energy proof of the homogenization formula; 4. LP estimates; 5. Correctors; 6. Second order elliptic operators with non-uniformly oscillating coefficients; 7. Complements on boundary conditions; 8. Reiterated homogenization; 9. Homogenization of elliptic systems; 10. Homogenization of the Stokes equation; 11. Homogenization of equations of Maxwell's type , 12. Homogenization with rapidly oscillating potentials13. Study of lower order terms; 14. Singular perturbations and homogenization; 15. Non-local limits; 16. Introduction to non-linear problems; 17. Homogenization of multi-valued operators; 18. Comments and problems; Bibliography; Chapter 2. Evolution Operators; 1. Parabolic operators: Asymptotic expansions; 2. Convergence of the homogenization of parabolic equations; 3. Evolution operators of hyperbolic, Petrowsky or Schrodinger type; 4. Comments and problems; Bibliography; Chapter 3. Probabilistic Problems and Methods , 1. Stochastic differential equations and connections with partial differential equations2. Martingale formulation of stochastic differential equations; 3. Some results from ergodic theory; 4. Homogenization with a constant coefficients limit operator; 5. Analytic approach to the problem (4.76); 6. Operators with locally periodic coefficients; 7. Reiterated homogenization; 8. Problems with potentials; 9. Homogenization of reflected diffusion processes; 10. Evolution problems; 11. Averaging; 12. Comments and problems; Bibliography , Chapter 4. High Frequency wave Propagation in Periodic Structures1. Formulation of the problems; 2. The W. K. B. or geometrical optics method; 3. Spectral theory for differential operators with periodic coefficients; 4. Simple applications of the spectral expansion; 5. The general geometrical optics expansion; 6. Comments and problems; Bibliography , English
    Additional Edition: ISBN 0-444-85172-0
    Language: English
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  • 5
    Online Resource
    Online Resource
    Amsterdam ; : North-Holland Pub. Co. ;
    UID:
    edoccha_9958120026602883
    Format: 1 online resource (725 p.)
    ISBN: 1-281-79361-2 , 9786611793616 , 0-08-087526-2
    Series Statement: Studies in mathematics and its applications ; v. 5
    Content: Asymptotic Analysis for Periodic Structures
    Note: Description based upon print version of record. , Front Cover; Asymptotic Analysis for Periodic Structures; Copyright Page; TABLE OF CONTENTS; Introduction; Chapter 1. Elliptic Operators; 1. Setting of the ""model"" problem; 2. Asymptotic expansions; 3. Energy proof of the homogenization formula; 4. LP estimates; 5. Correctors; 6. Second order elliptic operators with non-uniformly oscillating coefficients; 7. Complements on boundary conditions; 8. Reiterated homogenization; 9. Homogenization of elliptic systems; 10. Homogenization of the Stokes equation; 11. Homogenization of equations of Maxwell's type , 12. Homogenization with rapidly oscillating potentials13. Study of lower order terms; 14. Singular perturbations and homogenization; 15. Non-local limits; 16. Introduction to non-linear problems; 17. Homogenization of multi-valued operators; 18. Comments and problems; Bibliography; Chapter 2. Evolution Operators; 1. Parabolic operators: Asymptotic expansions; 2. Convergence of the homogenization of parabolic equations; 3. Evolution operators of hyperbolic, Petrowsky or Schrodinger type; 4. Comments and problems; Bibliography; Chapter 3. Probabilistic Problems and Methods , 1. Stochastic differential equations and connections with partial differential equations2. Martingale formulation of stochastic differential equations; 3. Some results from ergodic theory; 4. Homogenization with a constant coefficients limit operator; 5. Analytic approach to the problem (4.76); 6. Operators with locally periodic coefficients; 7. Reiterated homogenization; 8. Problems with potentials; 9. Homogenization of reflected diffusion processes; 10. Evolution problems; 11. Averaging; 12. Comments and problems; Bibliography , Chapter 4. High Frequency wave Propagation in Periodic Structures1. Formulation of the problems; 2. The W. K. B. or geometrical optics method; 3. Spectral theory for differential operators with periodic coefficients; 4. Simple applications of the spectral expansion; 5. The general geometrical optics expansion; 6. Comments and problems; Bibliography , English
    Additional Edition: ISBN 0-444-85172-0
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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  • 6
    Online Resource
    Online Resource
    Amsterdam ; : North-Holland Pub. Co. ;
    UID:
    almahu_9947367875102882
    Format: 1 online resource (725 p.)
    ISBN: 1-281-79361-2 , 9786611793616 , 0-08-087526-2
    Series Statement: Studies in mathematics and its applications ; v. 5
    Content: Asymptotic Analysis for Periodic Structures
    Note: Description based upon print version of record. , Front Cover; Asymptotic Analysis for Periodic Structures; Copyright Page; TABLE OF CONTENTS; Introduction; Chapter 1. Elliptic Operators; 1. Setting of the ""model"" problem; 2. Asymptotic expansions; 3. Energy proof of the homogenization formula; 4. LP estimates; 5. Correctors; 6. Second order elliptic operators with non-uniformly oscillating coefficients; 7. Complements on boundary conditions; 8. Reiterated homogenization; 9. Homogenization of elliptic systems; 10. Homogenization of the Stokes equation; 11. Homogenization of equations of Maxwell's type , 12. Homogenization with rapidly oscillating potentials13. Study of lower order terms; 14. Singular perturbations and homogenization; 15. Non-local limits; 16. Introduction to non-linear problems; 17. Homogenization of multi-valued operators; 18. Comments and problems; Bibliography; Chapter 2. Evolution Operators; 1. Parabolic operators: Asymptotic expansions; 2. Convergence of the homogenization of parabolic equations; 3. Evolution operators of hyperbolic, Petrowsky or Schrodinger type; 4. Comments and problems; Bibliography; Chapter 3. Probabilistic Problems and Methods , 1. Stochastic differential equations and connections with partial differential equations2. Martingale formulation of stochastic differential equations; 3. Some results from ergodic theory; 4. Homogenization with a constant coefficients limit operator; 5. Analytic approach to the problem (4.76); 6. Operators with locally periodic coefficients; 7. Reiterated homogenization; 8. Problems with potentials; 9. Homogenization of reflected diffusion processes; 10. Evolution problems; 11. Averaging; 12. Comments and problems; Bibliography , Chapter 4. High Frequency wave Propagation in Periodic Structures1. Formulation of the problems; 2. The W. K. B. or geometrical optics method; 3. Spectral theory for differential operators with periodic coefficients; 4. Simple applications of the spectral expansion; 5. The general geometrical optics expansion; 6. Comments and problems; Bibliography , English
    Additional Edition: ISBN 0-444-85172-0
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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