Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equations by Horst R. Beyer
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About this book :-
This book introduces the use of Semi Group Theory in the solution of linear and nonlinear (quasi-linear) hyperbolic partial differential equations, with particular application to wave equations and Hermitian hyperbolic systems.
The theoretical part is accessible to graduate students with basic knowledge in functional analysis, with only some examples requiring more specialized knowledge from the spectral theory of linear, self-adjoint operators in Hilbert spaces. Emphasis is placed on equations of the hyperbolic type which are less often treated in the literature.
Book Detail :-
This book has following details information.
Title:
Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equations by Horst R. Beyer
Publisher:
arXiv
Year:
2011
Pages:
275
Type:
PDF
Language:
English
ISBN-10 #:
3540711287
ISBN-13 #:
978-3540711285
License:
N\A
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About Author :-
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Book Contents :-
This book has following table of contents.
1. General introduction
2. Conventions
3. Mathematical introduction
4. Prerequisites
5. Strongly continuous semigroups
6. Examples of generators of strongly continuous semigroups
7. Intertwining relations, operator homomorphisms
8. Examples of constrained systems
9. Kernels, chains, and evolution operators
10. The linear evolution equation
11. Examples of linear evolution equations
12. The quasi-linear evolution equation
13. Examples of quasi-linear evolution equations
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