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Massimiliano Berti, Luca Biasco, Michela Procesi (2013)
Annales scientifiques de l'École Normale Supérieure
We prove an infinite dimensional KAM theorem which implies the existence of Cantor families of small-amplitude, reducible, elliptic, analytic, invariant tori of Hamiltonian derivative wave equations.
Altin, Abduhllah, Young, Eutiquio C. (1989)
International Journal of Mathematics and Mathematical Sciences
Benoît Perthame (1992)
Journées équations aux dérivées partielles
Anne-Laure Dalibard (2006)
Annales de l'I.H.P. Analyse non linéaire
Garcia, Martin G., Omel'yanov, Georgii A. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Limaco Ferrel, J., Medeiros, L.A. (1999)
Portugaliae Mathematica
Michael Reissig, Karen Yagdjian (2000)
Banach Center Publications
This work is concerned with the proof of decay estimates for solutions of the Cauchy problem for the Klein-Gordon type equation . The coefficient consists of an increasing smooth function and an oscillating smooth and bounded function b which are uniformly separated from zero. Moreover, is a positive constant. We study under which assumptions for λ and b one can expect as an essential part of the decay rate the classical Klein-Gordon decay rate n/2(1/p-1/q).
Slavík, Jakub (2017)
Proceedings of Equadiff 14
We establish an upper bound on the Kolmogorov’s entropy of the locally compact attractor for strongly damped wave equation posed in locally uniform spaces in subcritical case using the method of trajectories.
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