University of Pisa

output

19922026

most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing 2008 · math.APShow all

11 papers · 2 filters

math.AP2008★ 3 cited

On the decay of solutions to a class of defocusing NLS

Nicola Visciglia

We consider the following family of Cauchy problems: {equation*} i\partial_t u= Δu - u|u|^α, (t,x) \in \R \times \R^d {equation*} $u (0) = φ \in H^{1} (R^{d})$ where $0 < α < \frac{4}{d - 2}$ f…

math.AP2008★ 2 cited

Energy dissipation and self-similar solutions for an unforced inviscid dyadic model

D. Barbato, F. Flandoli, F. Morandin

A shell-type model of an inviscid fluid, previously considered in the literature, is investigated in absence of external force. Energy dissipation of positive solutions is proved a…

math.AP2008★ 7 cited

Hylomorphic solitons in the nonlinear Klein-Gordon equation

J. Bellazzini, V. Benci, C. Bonanno +1

Roughly speaking a solitary wave is a solution of a field equation whose energy travels as a localised packet and which preserves this localisation in time. A soliton is a solitary…

math.AP2008★ 2 cited

On asymptotic stability of ground states of NLS with a finite bands periodic potential in 1D

Scipio Cuccagna, Nicola Visciglia

We consider a nonlinear Schroedinger equation with a finite bands periodic potential in R . We assume the existence of an orbitally stable family of ground states. We prove that un…

math.AP2008★ 413 cited

Well-posedness of the transport equation by stochastic perturbation

Franco Flandoli, Massimiliano Gubinelli, Enrico Priola

We consider the linear transport equation with a globally Holder continuous and bounded vector field. While this deterministic PDE may not be well-posed, we prove that a multiplica…

math.AP2008

Scattering for small energy solutions of NLS with periodic potential in 1D

Scipio Cuccagna, Nicola Visciglia

We prove scattering for small solutions to of nonlinear Schroedinger equations in 1D with a space periodic potential

math.AP2008★ 1 cited

Spectral gap global solutions for degenerate Kirchhoff equations

Marina Ghisi, Massimo Gobbino

We consider the second order Cauchy problem $u^{''} + m (∣ A^{1/2} u ∣^{2}) A u = 0, u (0) = u_{0}, u^{'} (0) = u_{1},$ where $m : [0, + \infty) \to [0, + \infty)$ is a continuous function, and $A$ is a self-ad…

math.AP2008

A uniqueness result for Kirchhoff equations with non-Lipschitz nonlinear term

Marina Ghisi, Massimo Gobbino

We consider the second order Cauchy problem $$u''+\m{u}Au=0, u(0)=u_{0}, u'(0)=u_{1},$$ where $m : [0, + \infty) \to [0, + \infty)$ is a continuous function, and $A$ is a self-adjoint nonn…

math.AP2008★ 7 cited

Derivative loss for Kirchhoff equations with non-Lipschitz nonlinear term

Marina Ghisi, Massimo Gobbino

In this paper we consider the Cauchy boundary value problem for the abstract Kirchhoff equation with a continuous nonlinearity m : [0,+\infty) --> [0,+\infty). It is well known tha…

math.AP2008

Magneto-static vortices in two dimensional Abelian gauge theories

J. Bellazzini, C. Bonanno, G. Siciliano

We study the existence of vortices of the Klein-Gordon-Maxwell equations in the two dimensional case. In particular we find sufficient conditions for the existence of vortices in t…

math.AP2008★ 10 cited

On asymptotic stability in energy space of ground states of NLS in 2D

S. Cuccagna, M. Tarulli

We transpose work by K.Yajima and by T.Mizumachi to prove dispersive and smoothing estimates for dispersive solutions of the linearization at a ground state of a Nonlinear Schrödin…