Variational Methods in Nonlinear Field Equations
Solitary Waves, Hylomorphic Solitons and Vortices
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 ab…
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Produktdetails
Weitere Autoren: Fortunato, Donato
- ISBN: 978-3-319-06914-2
- EAN: 9783319069142
- Produktnummer: 17519888
- Verlag: Springer
- Sprache: Englisch
- Erscheinungsjahr: 2014
- Plattform: PDF
- Masse: 2'382 KB
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Solitary Waves, Hylomorphic Solitons and Vortices
Solitary Waves, Hylomorphic Solitons and Vortices
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