Non-Homogeneous Boundary Value Problems and Applications
Springer Berlin (Verlag)
978-3-642-65163-2 (ISBN)
0.- 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.
Erscheint lt. Verlag | 15.11.2011 |
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Reihe/Serie | Grundlehren der mathematischen Wissenschaften |
Übersetzer | P. Kenneth |
Zusatzinfo | XVI, 360 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 574 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Schlagworte | boundary • Compactness • Derivative • differential equation • Distribution • Form • function space • Interpolation • Iteration • NATURAL • Operator • ordinary differential equation • Randwertproblem • value problems • variational problem |
ISBN-10 | 3-642-65163-1 / 3642651631 |
ISBN-13 | 978-3-642-65163-2 / 9783642651632 |
Zustand | Neuware |
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