Asymptotic Distribution of Eigenvalues of Differential Operators [Paperback]

1. The Weyl-H?rmander Calculus of Pseudodifferential Operators.- ?1. Classes of Symbols.- ?2. Estimates for Solutions of Schr?dinger-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 DouglisNirenberg Operators with a Totally Disconnected Essential Spectrum.- ?18. Linearized Stationary NavierStokes System.- ?19. Asymptotics for Eigenfrequencies of a Shell in a Vacuum.- 4. Operators in Unbounded Domains.- ?20. Schr?dinger Operators with Increasing Potential.- ?21. Asymptotics of a Discrete Spectrum of Schr?dinger 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. Schr?dinger 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 Opl“'