Beyond partial differential equations : on linear and quasi-linear abstract hyperbolic evolution equations / Horst Reinhard Beyer.

By:

Beyer, Horst Reinhard

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540711292
3540711295
3540711287
9783540711285
6610817537
9786610817535

Subject(s): Additional physical formats: Print version:: Beyond partial differential equations.DDC classification:

515/.353 22

LOC classification:

QA374 .B49 2007eb

Other classification:

31.45
O175. 2

Online resources:

Click here to access online

Contents:

Conventions -- Mathematical introduction -- Prerequisites -- Strongly continuous semigroups -- Examples of generators of strongly continuous semigroups -- Intertwining relations, operator homomorphisms -- Examples of constrained systems -- Kernels, chains, and evolution operators -- The linear evolution equation -- Examples of linear evolution equations -- The quasi-linear evolution equation -- Examples of quasi-linear evolution equations.

Action note:

digitized 2011 HathiTrust Digital Library committed to preserve

Review: "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

Holdings ( 1 )
Title notes ( 10 )

Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
eBook	e-Library	eBook LN Mathematic		Available

Total holds: 0

Includes bibliographical references (pages 269-278)-and indexes.

"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

Print version record.

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English.