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math.AP2022★ 2 cited
Small energy stabilization for 1D Nonlinear Klein Gordon Equations
Scipio Cuccagna, Masaya Maeda, Stefano Scrobogna
We give a partial extension to dimension 1 of the result proved by Bambusi and Cuccagna on the absence of small energy real valued periodic solutions for the NLKG in dimension 3. W…
math.AP2022★ 2 cited
Asymptotic stability of kink with internal modes under odd perturbation
Scipio Cuccagna, Masaya Maeda
We give a sufficient condition, in the spirit of Kowalczyk-Martel-Munoz-Van Den Bosch \cite{KMMvdB21AnnPDE}, for the local asymptotic stability of kinks under odd perturbations. In…