Beyond partial differential equations : on linear and quasi-linear abstract hyperbolic evolution equations /

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Bibliographic Details
Author / Creator:Beyer, Horst Reinhard.
Imprint:Berlin : Springer, ©2007.
Description:1 online resource (xiv, 283 pages).
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1898
Lecture notes in mathematics (Springer-Verlag) ; 1898.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11066562
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ISBN:9783540711292
3540711295
3540711287
9783540711285
Notes:Includes bibliographical references (pages 269-278)-and indexes.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011.
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Print version record.
Summary:"The volume is self-contained and introduces to the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigroups. The theoretical part is accessible to graduate students with basic knowledge in functional analysis. Only some examples require more specialized knowledge from the spectral theory of linear, self-adjoint operators in Hilbert spaces. Particular stress is on equations of the hyperbolic type since considerably less often treated in the literature. Also, evolution equations from fundamental physics need to be compatible with the theory of special relativity and therefore are of hyperbolic type. Throughout, detailed applications are given to hyperbolic partial differential equations occurring in problems of current theoretical physics, in particular to Hermitian hyperbolic systems. This volume is thus also of interest to readers from theoretical physics."--Jacket.
Other form:Print version: Beyer, Horst Reinhard. Beyond partial differential equations. Berlin : Springer, ©2007 3540711287
Standard no.:10.1007/978-3-540-71129-2