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Second order linear differential equations in Banach spaces
Title:
Second order linear differential equations in Banach spaces
Author:
Fattorini, H. O. (Hector O.), 1938-
ISBN:
9780444876980
9780080872193
Personal Author:
Publication Information:
Amsterdam ; New York : North-Holland ; New York, N.Y. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1985.
Physical Description:
1 online resource (xiii, 314 pages) : illustrations.
Series:
North-Holland mathematics studies ; 108
Notas de matemática ; 99
North-Holland mathematics studies ; 108.
Notas de matemática (Rio de Janeiro, Brazil) ; no. 99.
Contents:
The Cauchy problem for first order equations : semigroup theory -- The Cauchy problem for second order equations : Cosine function theory -- Reduction of a second order equation to a first order system : phase spaces -- Applications to partial differential equations -- Uniformly bounded groups and Cosine functions in Hilbert space -- The parabolic singular perturbation problem -- Other singular perturbation problems -- The complete second order equation.
Abstract:
Second order linear differential equations in Banach spaces can be used for modelling such second order equations of mathematical physics as the wave equation, the Klein-Gordon equation, et al. In this way, a unified treatment can be given to subjects such as growth of solutions, singular perturbation of parabolic, hyperbolic and Schrödinger type initial value problems, and the like. The book covers in detail these subjects as well as the applications to each specific problem.
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Electronic Access:
ScienceDirect http://www.sciencedirect.com/science/book/9780444876980 ScienceDirect http://www.sciencedirect.com/science/publication?issn=03040208&volume=108Available:*
Shelf Number | Item Barcode | Shelf Location | Status |
|---|---|---|---|
| QA1 .N86 NO. 99 EB | 1190728-1001 | Elsevier E-Book Collections | Searching... |
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