3 citations · 4 across the 3 of their papers we have counts for
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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…
On the Cauchy problem for a Boussinesq type system
Felipe Linares, Mahendra Panthee, Jorge Drumond Silva
We consider the initial value problem (IVP) associated to a Boussinesq type system. After rewriting the system in an equivalent form of coupled KdV-type equations, we prove that th…
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^…