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On global attraction to solitary waves. Klein–Gordon equation with mean field interaction at several points

✍ Scribed by Andrew Comech


Book ID
113699384
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
302 KB
Volume
252
Category
Article
ISSN
0022-0396

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On global attraction to solitary waves f
✍ Alexander Komech; Andrew Komech 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 264 KB

The global attraction is established for the U(1)-invariant Klein-Gordon equation in one dimension coupled to a finite number of nonlinear oscillators. Each finite energy solution is shown to converge as t → ±∞ to the set of all solitary waves which are the "nonlinear eigenfunctions" of the form φ(x