Produktbild: Variational Methods in Nonlinear Field Equations

Variational Methods in Nonlinear Field Equations

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Solitary Waves, Hylomorphic Solitons and Vortices, Springer Monographs in Mathematics

ISBN: 3319361228
ISBN 13: 9783319361222
Autor: Benci, Vieri/Fortunato, Donato
Verlag: Springer Verlag GmbH
Umfang: xix, 253 S.
Erscheinungsdatum: 23.08.2016
Auflage: 1/2014
Produktform: Kartoniert
Einband: Kartoniert

The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theory for hylomorphic solitons, namely for those solitons which minimize the energy for a given charge. In the second part, the authors apply this theory to prove the existence of hylomorphic solitons for some classes of field equations (nonlinear Klein-Gordon-Maxwell equations, nonlinear Schrödinger-Maxwell equations, nonlinear beam equation,.). The abstract theory is sufficiently flexible to be applied to other situations, like the existence of vortices. The books is addressed to Mathematicians and Physicists.

Artikelnummer: 9752462 Kategorie:

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