ENGLISH

Beyond Partial Differential Equations: On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations

By Horst Reinhard Beyer (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2007
ISBN
9783540711285, 3-540-71128-7
DOI
10.1007/978-3-540-71129-2
Open Library ID
OL9063607M
Language
english
Format
PDF
Filesize
3 MB (2639615 bytes)
Series
Lecture Notes in Mathematics 1898
Edition
1
Pages
283\291
Library
mexmat
Time added
2009-07-20 03:45:11
Operator Theory; Partial Differential Equations

Description

The present 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.

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