Beyond partial differential equations on linear and quasi-linear abstract hyperbolic evolution equations
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....
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| Format: | eBook |
| Language: | Inglés |
| Published: |
Berlin, Heidelberg :
Springer-Verlag
[2007]
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| Edition: | 1st ed. 2007. |
| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1898. |
| Subjects: | |
| See on Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461051506719 |
| Summary: | 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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| Item Description: | Description based upon print version of record. |
| Physical Description: | 1 online resource (290 p.) |
| Bibliography: | Includes bibliographical references and indexes. |
| ISBN: | 9781280817533 9786610817535 9783540711292 |
