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20132026
most citedOn the asymptotic stability of the sine-Gordon kink in the energy space

17 citations · 25 across the 14 of their papers we have counts for

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math.AP2024★ 1 cited

Linearized dynamic stability for vortices of Ginzburg-Landau evolutions

José M. Palacios, Fabio Pusateri

We consider the problem of dynamical stability for the -vortex of the Ginzburg-Landau model. Vortices are one of the main examples of topological solitons, and their dynamic sta…

math.AP2024

Local Energy control in the presence of a zero-energy resonance

José M. Palacios, Fabio Pusateri

We consider the problem of stability and local energy decay for co-dimension one perturbations of the soliton of the cubic Klein-Gordon equation in dimensions. Our main resul…