Kink dynamics in the $\phi ^4$ model: Asymptotic stability for odd perturbations in the energy space

Michał Kowalczyk (1) , Yvan Martel (2) , Claudio Muñoz (1)

1 CMM - Center for Mathematical Modeling
2 CMLS - Centre de Mathématiques Laurent Schwartz

Domaines: Equations aux dérivées partielles [math.AP]

Michał Kowalczyk, Yvan Martel, Claudio Muñoz. Kink dynamics in the $\phi ^4$ model: Asymptotic stability for odd perturbations in the energy space. Journal of the American Mathematical Society, 2017, 30 (3), pp.769 - 798. ⟨10.1090/jams/870⟩. ⟨hal-01708213⟩