8 citations · 21 across the 12 of their papers we have counts for
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On the dynamics of zero-speed solutions for Camassa-Holm type equations
Miguel A. Alejo, Manuel F. Cortez, Chulkwang Kwak +1
In this paper we consider globally defined solutions of Camassa-Holm (CH) type equations outside the well-known nonzero speed, peakon region. These equations include the standard C…
On the asymptotic behavior of solutions to the Benjamin-Ono equation
Claudio Muñoz, Gustavo Ponce
We prove that the limit infimum, as time goes to infinity, of any uniformly bounded in time solution to the Benjamin-Ono equation converge to zero locally in…
The Akhmediev Breather is unstable
Miguel A. Alejo, Luca Fanelli, Claudio Muñoz
In this note, we give a rigorous proof that the NLS periodic Akhmediev breather is unstable. The proof follows the ideas in [17], in the sense that a suitable modification of the S…
The Calderón problem for quasilinear elliptic equations
Claudio Muñoz, Gunther Uhlmann
In this paper we show uniqueness of the conductivity for the quasilinear Calderón's inverse problem. The nonlinear conductivity depends, in a nonlinear fashion, of the potential it…
Breathers and the dynamics of solutions to the KdV type equations
Claudio Muñoz, Gustavo Ponce
In this paper our first aim is to identify a large class of non-linear functions for which the IVP for the generalized Korteweg-de Vries equation does not have breat…
Dynamics of small solutions in KdV type equations: decay inside the linearly dominated region
Claudio Muñoz
In this paper we prove that all small, uniformly in time bounded solutions to KdV and related perturbations must converge to zero, as time goes to infinity, locally i…