Author | Shklyar, Alexander Ya. author |
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Title | Complete Second Order Linear Differential Equations in Hilbert Spaces [electronic resource] / by Alexander Ya. Shklyar |
Imprint | Basel : Birkhรคuser Basel, 1997 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-9187-5 |
Descript | XII, 220 p. online resource |
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