Band 53
Asymptotic Distribution of Eigenvalues of Differential Operators
Aus der Reihe
Mathematics and its Applications
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- Hardcover
- Taschenbuch ausgewählt
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Sprache:Englisch
Fr. 72.90
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
21.04.2014
Verlag
Springer NetherlandSeitenzahl
280
Maße (L/B/H)
23.5/15.5/1.7 cm
Gewicht
433 g
Auflage
Softcover reprint of the original 1st ed. 1990
Sprache
Englisch
ISBN
978-94-010-7356-1
1. The Weyl-Hörmander Calculus of Pseudodifferential Operators.-
1. Classes of Symbols.-
2. Estimates for Solutions of Schrödinger-Type Equations.-
3. The Fundamental Theorems of Calculus.-
4. Continuity of Pseudodifferential Operators.-
5. Weight Spaces of Sobolev Type.-
6. Action of Pseudodifferential Operators in Weight Spaces.- 2. Basic Theorems of the Method of Approximate Spectral Projection for Scalar and Matrix Operators.-
7. Formulation of the Basic Theorems.-
8. Auxiliary Propositions.-
9. Proof of Theorem 7.2 for the Scalar Case.-
10. Proof of Theorem 7.3 for the Scalar Case.-
11. Proofs of Theorems 7.2 and 7.3 for the Matrix Case.-
12. Proofs of Theorems 7.1, 7.4, and 7.5.- 3. Operators in a Bounded Domain.-
13. Douglis-Nirenberg Elliptic Operators. Dirichlet-Type Problems.-
14. General Boundary Value Problems for Elliptic Operators.-
15. Problems with Resolvable Constraints.-
16. Electromagnetic Resonator.-
17. Asymptotics of the Discrete Spectrum of Douglis-Nirenberg Operators with a Totally Disconnected Essential Spectrum.-
18. Linearized Stationary Navier-Stokes System.-
19. Asymptotics for Eigenfrequencies of a Shell in a Vacuum.- 4. Operators in Unbounded Domains.-
20. Schrödinger Operators with Increasing Potential.-
21. Asymptotics of a Discrete Spectrum of Schrödinger Operators and Dirac Operators with Decreasing Potentials.- 5. Asymptotics of the Spectrum of Pseudodifferential Operators with Operator-Valued Symbols and Some Applications.-
22. Pseudodifferential Operators with Operator-Valued Symbols.-
23. Boundary Value Problems in Strongly Anisotropic Domains.- 6. Degenerate Differential Operators.-
24. General Analysis of Degenerate Operators and Generalizations of the Weyl Formula.-
25.Schrödinger Operators with Degenerate Homogeneous Potential.-
26. Model Problems for Degenerate Differential Operators in a Bounded Domain.-
27. Degenerate Differential Operators in a Bounded Domain.-
28. Degenerate Differential Operators in an Unbounded Domain.- Appendix: Basic Variational Theorems.- A Brief Review of the Bibliography.- Notation Index.
1. Classes of Symbols.-
2. Estimates for Solutions of Schrödinger-Type Equations.-
3. The Fundamental Theorems of Calculus.-
4. Continuity of Pseudodifferential Operators.-
5. Weight Spaces of Sobolev Type.-
6. Action of Pseudodifferential Operators in Weight Spaces.- 2. Basic Theorems of the Method of Approximate Spectral Projection for Scalar and Matrix Operators.-
7. Formulation of the Basic Theorems.-
8. Auxiliary Propositions.-
9. Proof of Theorem 7.2 for the Scalar Case.-
10. Proof of Theorem 7.3 for the Scalar Case.-
11. Proofs of Theorems 7.2 and 7.3 for the Matrix Case.-
12. Proofs of Theorems 7.1, 7.4, and 7.5.- 3. Operators in a Bounded Domain.-
13. Douglis-Nirenberg Elliptic Operators. Dirichlet-Type Problems.-
14. General Boundary Value Problems for Elliptic Operators.-
15. Problems with Resolvable Constraints.-
16. Electromagnetic Resonator.-
17. Asymptotics of the Discrete Spectrum of Douglis-Nirenberg Operators with a Totally Disconnected Essential Spectrum.-
18. Linearized Stationary Navier-Stokes System.-
19. Asymptotics for Eigenfrequencies of a Shell in a Vacuum.- 4. Operators in Unbounded Domains.-
20. Schrödinger Operators with Increasing Potential.-
21. Asymptotics of a Discrete Spectrum of Schrödinger Operators and Dirac Operators with Decreasing Potentials.- 5. Asymptotics of the Spectrum of Pseudodifferential Operators with Operator-Valued Symbols and Some Applications.-
22. Pseudodifferential Operators with Operator-Valued Symbols.-
23. Boundary Value Problems in Strongly Anisotropic Domains.- 6. Degenerate Differential Operators.-
24. General Analysis of Degenerate Operators and Generalizations of the Weyl Formula.-
25.Schrödinger Operators with Degenerate Homogeneous Potential.-
26. Model Problems for Degenerate Differential Operators in a Bounded Domain.-
27. Degenerate Differential Operators in a Bounded Domain.-
28. Degenerate Differential Operators in an Unbounded Domain.- Appendix: Basic Variational Theorems.- A Brief Review of the Bibliography.- Notation Index.
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