Non-Homogeneous Boundary Value Problems and Applications Vol. 1
1. We describe, at first in a very formaI manner, our essential aim. n Let m be an op en subset of R , with boundary am. In m and on am we introduce, respectively, linear differential operators P and Qj' 0 ~ i ~ 'V. By "non-homogeneous boundary value problem" we mean a problem of...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1972, 1972
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| Edition: | 1st ed. 1972 |
| Series: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 13. Intersection Interpolation
- 14. Holomorphic Interpolation
- 15. Another Intrinsic Definition of the Spaces [X, Y]0
- 16. Compactness Properties
- 17. Comments
- 18. Problems
- 2 Elliptic Operators. Hilbert Theory
- 1. Elliptic Operators and Regular Boundary Value Problems
- 2. Green’s Formula and Adjoint Boundary Value Problems
- 3. The Regularity of Solutions of Elliptic Equations in the Interior of ?
- 4. A priori Estimates in the Half-Space
- 5. A priori Estimates in the Open Set ? and the Existence of Solutions in Hs(?)-Spaces, with Real s ? 2m
- 6. Application of Transposition: Existence of Solutions in Hs(?)-Spaces, with Real s ? 0
- 7. Application of Interpolation: Existence of Solutions in Hs(?)-Spaces, with Real s, 0 < s < 2m
- 8. Complements and Generalizations
- 9. Variational Theory of Boundary Value Problems
- 10. Comments
- 11. Problems
- 3 Variational Evolution Equations
- 1. An Isomorphism Theorem
- 2. Transposition
- 3. Interpolation
- 4. Example: Abstract Parabolic Equations, Initial Condition Problem (I)
- 5. Example: Abstract Parabolic Equations, Initial Condition Problem (II)
- 6. Example: Abstract Parabolic Equations, Periodic Solutions
- 7. Elliptic Regularization
- 8. Equations of the Second Order in t
- 9. Equations of the SecondOrder in t; Transposition
- 10. Schroedinger Type Equations
- 11. Schroedinger Type Equations; Transposition
- 12. Comments
- 13. Problems