Author | Lions, J. L. author |
---|---|
Title | Non-Homogeneous Boundary Value Problems and Applications [electronic resource] : Vol. 1 / by J. L. Lions, E. Magenes |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1972 |
Connect to | http://dx.doi.org/10.1007/978-3-642-65161-8 |
Descript | XVI, 360 p. online resource |
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. Greenโs 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 Second Order in t; Transposition -- 10. Schroedinger Type Equations -- 11. Schroedinger Type Equations; Transposition -- 12. Comments -- 13. Problems