Cuccagna Scipio, Maeda Masaya, Tuoc V.
Phan, On small energy stabilization in the NLKG
with a trapping potential, preprint .
Cuccagna
Scipio, Maeda Masaya, On orbital instability of
spectrally stable vortices of the NLS in the
plane,preprint .
Cuccagna
Scipio, Jenkins Robert, On asymptotic
stability of N--solitons of the
Gross-Pitaevskii equation, preprint.
Cuccagna Scipio, Tarulli Mirko, On
stabilization of small solutions
in the nonlinear Dirac equation with a trapping
potential, Journal of Mathematical
Analysis and Applications, vol 436 (2016),
1332–1368.
Cuccagna Scipio, Maeda Masaya, On weak interaction between a ground state
and a trapping potential, Journal Discrete and Continuous Dynamical
System - A, 35 (2015), n.8, 3343--3376.
Cuccagna Scipio, Maeda Masaya,
On small energy stabilization in
the NLS with a trapping potential,
Analysis & PDE Vol. 8 (2015), No.
6, 1289–1349 .
Cuccagna Scipio, Pelinovsky Dmitry, The asymptotic stability of solitons in the
cubic NLS equation on the line, Applicable
Analysis 93 (2014), no. 4, 791–822.
Cuccagna Scipio, Maeda Masaya, On
weak interaction between a ground state and a
non-trapping potential, J. Differential
Equations 256 (2014), no. 4, 1395—1466
Cuccagna Scipio,Visciglia
Nicola, Vladimir Georgiev, Decay and scattering of small
solutions of pure power NLS in R
with p>3 and with a potential,
Comm. on
Pure
Appl. Math. 67 (2014) 957–981
Cuccagna Scipio,On the Darboux and Birkhoff steps in the
asymptotic stability of solitons, Rend. Istit.
Mat. Univ. Trieste 44 (2012), 197--257.
CuccagnaScipio,On asymptotic stability of moving ground
states of the nonlinear Schrodinger equation,Trans.
Amer. Math. Soc. 366 (2014), 2827-2888
Cuccagna,
Marzuola , On instability of some
approximate periodic solutions for the full nonlinear
Schrödinger equation, Indiana Univ. Math. J.
61 (2012), 2053-2083.
Boussaid Nabile , Cuccagna
Scipio, On stability of standing waves of
nonlinear Dirac equations, Comm. Partial. Diff.Equations
37 (2012) 1001-1056
Bambusi Dario , Cuccagna Scipio,On dispersion of small energy solutions of
the nonlinear Klein Gordon equation with a potential, Amer. J.
Math.133 (2011), no. 5,1421–1468.
Cuccagna Scipio, On scattering of small energy solutions of
non autonomous hamiltonian nonlinear Schrödinger
equations , J.
Differential Equations250 (2011), no. 5, 2347–2371.
Cuccagna Scipio,Visciglia
Nicola, On asymptotic stability of ground states of NLS
with a finite bands periodic potential in 1D, Trans. Amer.
Math. Soc.363 (2011), no. 5, 2357–2391
Cuccagna Scipio, On instability of excited states of the
nonlinear Schrödinger equation,Physica D-Nonlinear Phenomena, Vol.238
(2009)pp.38 -5
Andrew Comech, Scipio Cuccagna ,
Dmitry Pelinovsky,Nonlinear instability of a critical
traveling wave in the generalized Korteweg de Vries
equation SIAM Journal Mathematical Analysis, vol. 39
n.1, 2007, pp 1--33
Cuccagna Scipio, Stability of standing waves for NLS with
perturbed Lamé potential,Journal
ofDifferential
Equations, vol. 223, 2006, 112--160.
Cuccagna Scipio, A survey on asymptotic stability of ground
states of nonlinear Schrödinger equations, pp. 21--58, in the book "Dispersive
Nonlinear Problems in Mathematical Physics" Quaderni di
Matematica, editorsV.Georgiev andP. D'Ancona, vol. 15, Dipt. Matematica, Seconda Università di Napoli.
Cuccagna, Eduard Kirr and Dmitry
Pelinovsky, Parametric
resonance of ground states in the nonlinear Schrödinger
equation, Journal ofDifferential
Equations, vol. 220, 2006, 85--120.
Cuccagna,D.
Pelinovsky and V. Vougalter, Spectra of positive and negative energies
in the linearization of the NLS problem, Comm.Pure Appl.
Math. 58 (2005), pp 1--29
Cuccagna , D. Pelinovsky, Bifurcations from the end points of the
essential spectrum in the linearized NLS problem,Jour.
Math. Phys. 46 (May 2005), 053520.
Cuccagna Scipio,On asymptotic stability of ground states of
NLS,Rev.
Math. Phys. 15 (2003) pp 877--903
Comech, Cuccagna,On the L^p continuity of singular Fourier
integral operators, Tran.Amer.Math.Soc. 355 (2003) n.6
2453-2476
Cuccagna Scipio,Stabilization of solutions to nonlinear
Schrödinger equations, Communications on Pure. and Appl. Math.
54 (2001) n.9 1110-1145
Cuccagna Scipio,Asymptotic stability of the ground states
of the nonlinear Schrödinger equation,Rend.
Institut. Mat. Univ. Trieste 32 (2001), suppl. I, pp 105
-118
Cuccagna , Schirmer,On the wave equation with a magneticpotential, Communications on Pure. and Appl. Math.,
Vol 52 (2001), no. 2, 135—152
Cuccagna Scipio, On the wave equation
with a potential,
Comm.Partial Diff. Eq. 25 (2000), no. 7-8, 1549--1565
Comech , CuccagnaIntegral operators with two-sided cusp
singularities, International Mathematical Research
Notices, 2000 , n. 23, 1225--1242
Cuccagna Scipio, On the local existence for the Maxwell
Klein Gordon system in R ^{3+1},
Communications in Part. Diff. Equations 24 (1999)
203-216
Cuccagna
Scipio, Sobolev estimates for operators given by
averages over cones, Trans. Amer. Math. Soc. 350 (1998)
no.3,935--946
Cuccagna
Scipio,Sobolev
estimates for fractional and singular Radon transforms, Jour. of Funct. Analysis Vol 1391996
94--118.
Cuccagna Scipio,L^2estimates
for averaging operators along curves with two sided k
fold singularities, Duke Math.Journal, Vol 89, 203--216
(1997).
Cuccagna, . Zimmermann On the mapping class group of spherical 3
orbifolds, Proceedings of the Amer. Math. Soc., Vol
116 n2, 561--566 (1992).