53 citations · 262 across the 15 of their papers we have counts for
12 papers · 1 filter
Sharp local well-posedness and nonlinear smoothing for dispersive equations through frequency-restricted estimates
Simão Correia, Filipe Oliveira, Jorge Drumond Silva
We consider the problem of establishing nonlinear smoothing as a general feature of nonlinear dispersive equations, i.e. the improved regularity of the integral term in Duhamel's f…
Mass-transfer instability of ground-states for Hamiltonian Schrödinger systems
Simão Correia, Filipe Oliveira, Jorge D. Silva
We study generic semilinear Schrödinger systems which may be written in Hamiltonian form. In the presence of a single gauge invariance, the components of a solution may exchange ma…
Nonlinear smoothing for dispersive PDE: a unified approach
Simão Correia, Jorge Drumond Silva
In several cases of nonlinear dispersive PDEs, the difference between the nonlinear and linear evolutions with the same initial data, i.e. the integral term in Duhamel's formula, e…
On a nonlinear Schrödinger system arising in quadratic media
Adán Corcho, Simão Correia, Filipe Oliveira +1
We consider the quadratic Schrödinger system where , in…
On the Unboundedness of Higher Regularity Sobolev Norms of Solutions for the Critical Schrödinger-Debye System with Vanishing Relaxation Delay
Adán J. Corcho, Jorge Drumond Silva
We consider the Schrödinger-Debye system in , for . Developing on previously known local well-posedness results, we start by establishing global well-posedness…
Scattering for nonlinear Schrodinger equation under partial harmonic confinement
Paolo Antonelli, Rémi Carles, Jorge Drumond Silva
We consider the nonlinear Schrodinger equation under a partial quadratic confinement. We show that the global dispersion corresponding to the direction(s) with no potential is enou…