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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Variational Methods in Nonlinear Field Equations
• Subtitle: Solitary Waves, Hylomorphic Solitons and Vortices
• Author: Donato Fortunato, Vieri Benci
• Language: English
• Binding: Hardback
• Number of pages: 253
• EAN: 9783319069135
• ISBN: 3319069136
• ID: 02644841
• Publisher: Springer International Publishing AG
• Weight: 562 g
• Dimensions: 248 × 171 × 19 mm
• Date of publishing: 03. November 2014

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