The Cauchy Problem for Higher Order Abstract Differential Equations
The main purpose of this book is to present the basic theory and some recent de velopments concerning the Cauchy problem for higher order abstract differential equations u(n)(t) + ~ AiU(i)(t) = 0, t ~ 0, { U(k)(O) = Uk, 0 ~ k ~ n-l. where AQ, Ab . . . , A - are linear operators in a topological vec...
Κύριοι συγγραφείς: | , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
1998.
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Έκδοση: | 1st ed. 1998. |
Σειρά: | Lecture Notes in Mathematics,
1701 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Laplace transforms and operator families in locally convex spaces
- Wellposedness and solvability
- Generalized wellposedness
- Analyticity and parabolicity
- Exponential growth bound and exponential stability
- Differentiability and norm continuity
- Almost periodicity
- Appendices: A1 Fractional powers of non-negative operators
- A2 Strongly continuous semigroups and cosine functions
- Bibliography
- Index
- Symbols.