53 citations · 262 across the 15 of their papers we have counts for
18 papers
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…
Weighted Gagliardo-Nirenberg Interpolation Inequalities
Rodrigo Duarte, Jorge Drumond Silva
In this paper, we prove weighted versions of the Gagliardo-Nirenberg interpolation inequality with Riesz as well as Bessel type fractional derivatives. We use a harmonic analysis a…
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…
Solutions of the wave equation bounded at the Big Bang
Pedro M. Girão, José Natário, Jorge Drumond Silva
By solving a singular initial value problem, we prove the existence of solutions of the wave equation which are bounded at the Big Bang in the Friedmann-Lemaitre-Robert…
On the occurrence of mass inflation for the Einstein-Maxwell-scalar field system with a cosmological constant and an exponential Price law
João L. Costa, Pedro M. Girão, José Natário +1
In this paper we study the spherically symmetric characteristic initial data problem for the Einstein-Maxwell-scalar field system with a positive cosmological constant in the inter…