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Spatially localized free vibrations for a non‐linear string model
Author(s) -
Feireisl Eduard
Publication year - 1992
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670150505
Subject(s) - mathematics , breather , mathematical analysis , string (physics) , vibration , compact space , zero (linguistics) , image (mathematics) , wave equation , variable (mathematics) , constant (computer programming) , pure mathematics , nonlinear system , mathematical physics , quantum mechanics , physics , linguistics , philosophy , artificial intelligence , computer science , programming language
We prove the existence of infinitely many non‐zero time‐periodic solutions (breathers) to the dispersive wave equation of the formwhich are localized in the spatial variable, that isThe main tool employed is the concentration compactness principle of P. L. Lions.