Differential Equations with Operator Coefficients

Lieferzeit: Lieferbar innerhalb 14 Tagen

106,99 

with Applications to Boundary Value Problems for Partial Differential Equations, Springer Monographs in Mathematics

ISBN: 3642084532
ISBN 13: 9783642084539
Autor: Kozlov, Vladimir/Maz’ya, Vladimir
Verlag: Springer Verlag GmbH
Umfang: xx, 444 S.
Erscheinungsdatum: 07.12.2010
Auflage: 1/1999
Produktform: Kartoniert
Einband: KT

Includes supplementary material: sn.pub/extras

Artikelnummer: 1607184 Kategorie:

Beschreibung

InhaltsangabeI. Differential Equations with Constant Operator Coefficients.- 1. Power-Exponential Zeros.- 2. Differential Operator Equations in Weighted Sobolev Spaces.- 3. Solutions in a Local Sobolev Space.- 4. Two-Weight L2-Estimates.- II. Differential Equations with Variable Operator Coefficients.- 5. Existence, Uniqueness and "Pointwise" Estimates.- 6. Corollaries of Previous Results Under Special Assumptions on L(t, Dt).- 7. Two-Weight L2-Estimates for Equations with Variable Coefficients.- 8. Connection of Solutions Corresponding to Different Strips.- 9. Applications to the Case of Perturbations Vanishing at Infinity.- 10. Variants and Extensions of the Previous Theory.- III. Asymptotic Theory of Operator Differential Equations.- 11. Complete Asymptotic Expansions Under Exponential and Power Perturbations of A(Dt).- 12. Reduction to a First Order System.- 13. General Asymptotic Representation.- 14. Power-Exponential Asymptotics.- 15. The Case of One Simple Eigenvalue on the Line.- 16. Several Simple Eigenvalues on the Line.- 17. The Case of a Single Multiple Eigenvalue.- A. Holomorphic Operator Functions.- A.1 Introduction.- A.2 Prerequisites on Fredholm Operators.- A.3 Basic Notions of the Spectral Theory of Holomorphic Operator Functions.- A.5 The Local Equivalence of Holomorphic Operator Functions.- A.6 The Smith Form of a Holomorphic Matrix Function.- A.7 The Resolvent of a Holomorphic Matrix Function.- A.8 Fredholm Holomorphic Operator Functions.- A.9 The Adjoint Holomorphic Operator Function.- References.- Index of Notation.- Index of Names.

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