3 citations · 4 across the 5 of their papers we have counts for
5 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…
Quadratic Symmetric Polynomials and an analogue of the Davenport Constant
Hemar Godinho, Abílio Lemos, Victor Neumann +1
In this paper, we define the constant , an analogue for the Davenport constant, for sequences on the finite field , defined via quadratic symmetric polynomia…
A note on the existence of traveling-wave solutions to a Boussinesq system
Filipe Oliveira
We obtain a one-parameter family of traveling-wave solutions to the Boussinesq system $$u_t+η_x+uu_x+cη_…
Existence and linearized stability of solitary waves for a quasilinear Benney system
João-Paulo Dias, Mário Figueira, Filipe Oliveira
We prove the existence of solitary wave solutions to the quasilinear Benney system where , and $a…
On The Cauchy Problem for the elliptic Zakharov-Schulman system in dimensions 2 and 3
Filipe Oliveira, Mahendra Panthee, Jorge Drumond Silva
We prove that the Cauchy problem associated to the Zakharov-Schulman system , is locally well-posed for given initial data in Sobolev spaces $H^s(R^…