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math.AP2023★ 1 cited
Asymptotic stability of the fourth order kink for general perturbations in the energy space
Christopher Maulén, Claudio Muñoz
The Fourth order model generalizes the classical model of quantum field theory, sharing the same kink solution. It is also the dispersive counterpart of the well-known…
math.AP2021★ 2 cited
Decay for Skyrme wave maps
Miguel A. Alejo, Christopher Maulén
We consider the decay problem for global solutions of the Skyrme and Adkins-Nappi equations. We prove that the energy associated to any bounded energy solution of the Skyrme (or Ad…
math.AP2019
Decay in the one dimensional generalized Improved Boussinesq equation
Christopher Maulén, Claudio Muñoz
We consider the decay problem for the generalized improved (or regularized) Boussinesq model with power type nonlinearity, a modification of the originally ill-posed shallow water…