77 citations · 284 across the 43 of their papers we have counts for
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math.AP2020
Review on the stability of the Peregrine and related breathers
Miguel A. Alejo, Luca Fanelli, Claudio Muñoz
In this note, we review stability properties in energy spaces of three important nonlinear Schrödinger breathers: Peregrine, Kuznetsov-Ma, and Akhmediev. More precisely, we show th…
math.SP2020★ 14 cited
Eigenvalue bounds for non-selfadjoint Dirac operators
Piero D'Ancona, Luca Fanelli, Nico Michele Schiavone
In this work we prove that the eigenvalues of the -dimensional massive Dirac operator , , perturbed by a possibly non-Hermitian potential , are loca…
math.AP2020★ 1 cited
Dispersive estimates for 2D-wave equations with critical potentials
Luca Fanelli, Junyong Zhang, Jiqiang Zheng
We study the 2D-wave equation with a scaling-critical electromagnetic potential. This problem is doubly critical, because of the scaling invariance of the model and the singulariti…