Complete Second Order Linear Differential Equations in Hilbert Spaces
Springer Basel (Verlag)
978-3-0348-9940-6 (ISBN)
I. Well-posedness of boundary-value problems.- to Part I.- 1. Joint spectrum of commuting normal operators and its position. Estimates for roots of second order polynomials. Definition of well-posedness of boundary-value problems.- 2. Well-posedness of boundary-value problems for equation (1) in the case of commuting self-adjoint A and B.- 3. The Cauchy problem.- 4. Boundary-value problems on a finite segment.- II. Initial data of solutions.- to Part II.- 5. Boundary behaviour of an integral transform R(t) as t ? 0 depending on the sub-integral measure.- 6. Initial data of solutions.- III. Extension, stability, and stabilization of weak solutions.- to Part III.- 7. The general form of weak solutions.- 8. Fatou-Riesz property.- 9. Extension of weak solutions.- 10. Stability and stabilization of weak solutions.- IV. Boundary-value problems on a half-line.- to Part IV.- 11. The Dirichlet problem on a half-line.- 12. The Neumann problem on a half-line.- Commentaries on the literature.- List of symbols.
Erscheint lt. Verlag | 5.10.2011 |
---|---|
Reihe/Serie | Operator Theory: Advances and Applications |
Zusatzinfo | XII, 220 p. |
Verlagsort | Basel |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 364 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Schlagworte | Calculus • Equation • Finite • Function • Functional Analysis • hilbert space • integral transform • Partial differential equations • Proof • Theorem |
ISBN-10 | 3-0348-9940-8 / 3034899408 |
ISBN-13 | 978-3-0348-9940-6 / 9783034899406 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
aus dem Bereich