Scipio Cuccagna

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All published works
Action Title Year Authors
+ PDF Chat On stabilization at a soliton for generalized Korteweg--De Vries pure power equation for any power $p\in (1,5)$ 2025 Scipio Cuccagna
Masaya Maeda
+ The asymptotic stability on the line of ground states of the pure power NLS with 0 < |p − 3| â‰Ș 1 2025 Scipio Cuccagna
Masaya Maeda
+ On Small Energy Solutions of the Nonlinear Schrödinger Equation in 1D with a Generic Trapping Potential with a Single Eigenvalue 2024 Scipio Cuccagna
Masaya Maeda
+ Paralinearization and extended lifespan for solutions of the α-SQG sharp front equation 2024 Massimiliano Berti
Scipio Cuccagna
Francisco Gancedo
Stefano Scrobogna
+ PDF Chat On the asymptotic stability on the line of ground states of the pure power NLS with $ 0\le 2-p \ll 1 $ 2024 Scipio Cuccagna
Masaya Maeda
+ PDF Chat On small energy solutions of the Nonlinear Schr\"odinger Equation in 1D with a generic trapping potential with a single eigenvalue 2024 Scipio Cuccagna
Masaya Maeda
+ On Asymptotic Stability on a Center Hypersurface at the Soliton for Even Solutions of the Nonlinear Klein–Gordon Equation When \(\boldsymbol{2 \ge p \gt \frac{5}{3}}\) 2024 Scipio Cuccagna
Masaya Maeda
Federico Murgante
Stefano Scrobogna
+ PDF Chat On the asymptotic stability of ground states of the pure power NLS on the line at 3rd and 4th order Fermi Golden Rule 2024 Scipio Cuccagna
Masaya Maeda
+ PDF Chat A note on the Fermi Golden Rule constant for the pure power NLS 2024 Scipio Cuccagna
Masaya Maeda
+ PDF Chat The asymptotic stability on the line of ground states of the pure power NLS with $0<|p-3|\ll 1$ 2024 Scipio Cuccagna
Masaya Maeda
+ On The Asymptotic Stability on the Line Of Ground States of The Pure Power Nls With $ 0\Le 2-P \Ll 1 $ 2024 Scipio Cuccagna
Masaya Maeda
+ On asymptotic stability on a center hypersurface at the solition for even solutions of the NLKG when $2\ge p&gt; \frac{5}{3}$ 2023 Scipio Cuccagna
Masaya Maeda
Federico Murgante
Stefano Scrobogna
+ Paralinearization and extended lifespan for solutions of the $ α$-SQG sharp front equation 2023 Massimiliano Berti
Scipio Cuccagna
Francisco Gancedo
Stefano Scrobogna
+ PDF Chat Small energy stabilization for 1D nonlinear Klein Gordon equations 2022 Scipio Cuccagna
Masaya Maeda
Stefano Scrobogna
+ PDF Chat Asymptotic stability of kink with internal modes under odd perturbation 2022 Scipio Cuccagna
Masaya Maeda
+ PDF Chat On Selection of Standing Wave at Small Energy in the 1D Cubic Schrödinger Equation with a Trapping Potential 2022 Scipio Cuccagna
Masaya Maeda
+ PDF Chat Revisiting asymptotic stability of solitons of nonlinear Schrödinger equations via refined profile method 2022 Scipio Cuccagna
Masaya Maeda
+ Asymptotic stability of kink with internal modes under odd perturbation 2022 Scipio Cuccagna
Masaya Maeda
+ Small energy stabilization for 1D Nonlinear Klein Gordon Equations 2022 Scipio Cuccagna
Masaya Maeda
Stefano Scrobogna
+ PDF Chat A Note on Small Data Soliton Selection for Nonlinear Schrödinger Equations with Potential 2022 Scipio Cuccagna
Masaya Maeda
+ PDF Chat Coordinates at Small Energy and Refined Profiles for the Nonlinear Schrödinger Equation 2021 Scipio Cuccagna
Masaya Maeda
+ A note on small data soliton selection for nonlinear Schrödinger equations with potential 2021 Scipio Cuccagna
Masaya Maeda
+ On selection of standing wave at small energy in the 1D Cubic Schrödinger Equation with a trapping potential 2021 Scipio Cuccagna
Masaya Maeda
+ Revisiting asymptotic stability of solitons of nonlinear Schrödinger equations via refined profile method 2021 Scipio Cuccagna
Masaya Maeda
+ PDF Chat A survey on asymptotic stability of ground states of nonlinear Schrödinger equations II 2020 Scipio Cuccagna
Masaya Maeda
+ PDF Chat On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations 2020 Andrew Comech
Scipio Cuccagna
+ Coordinates at small energy and refined profiles for the Nonlinear Schrödinger Equation 2020 Scipio Cuccagna
Masaya Maeda
+ A survey on asymptotic stability of ground states of nonlinear Schrodinger equations II 2020 Scipio Cuccagna
Masaya Maeda
+ Long time oscillation of solutions of nonlinear Schrödinger equations near minimal mass ground state 2019 Scipio Cuccagna
Masaya Maeda
+ On stability of small solitons of the 1--D NLS with a trapping delta potential 2019 Scipio Cuccagna
Masaya Maeda
+ PDF Chat On Stability of Small Solitons of the 1-D NLS with a Trapping Delta Potential 2019 Scipio Cuccagna
Masaya Maeda
+ PDF Chat On Nonlinear Profile Decompositions and Scattering for an NLS–ODE Model 2018 Scipio Cuccagna
Masaya Maeda
+ On asymptotic stability of ground states of some systems of nonlinear Schr\"odinger equations 2018 Andrew Comech
Scipio Cuccagna
+ Long time oscillation of solutions of nonlinear Schrödinger equations near minimal mass ground state 2018 Scipio Cuccagna
Masaya Maeda
+ On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations 2018 Andrew Comech
Scipio Cuccagna
+ On nonlinear profile decompositions and scattering for a NLS-ODE model 2017 Scipio Cuccagna
Masaya Maeda
+ PDF Chat On small energy stabilization in the NLKG with a trapping potential 2016 Scipio Cuccagna
Masaya Maeda
Tuoc Phan
+ PDF Chat On Orbital Instability of Spectrally Stable Vortices of the NLS in the Plane 2016 Scipio Cuccagna
Masaya Maeda
+ PDF Chat On the Asymptotic Stability of $${N}$$ N -Soliton Solutions of the Defocusing Nonlinear Schrödinger Equation 2016 Scipio Cuccagna
R. M. Jenkins
+ On stabilization of small solutions in the nonlinear Dirac equation with a trapping potential 2015 Scipio Cuccagna
Mirko Tarulli
+ PDF Chat On small energy stabilization in the NLS with a trapping potential 2015 Scipio Cuccagna
Masaya Maeda
+ PDF Chat On weak interaction between a ground state and a trapping potential 2015 Scipio Cuccagna
Masaya Maeda
+ On small energy stabilization in the NLKG with a trapping potential 2015 Scipio Cuccagna
Masaya Maeda
Tuoc Phan
+ On asymptotic stability of N{solitons of the Gross{Pitaevskii equation 2014 Scipio Cuccagna
R. M. Jenkins
+ On stabilization of small solutions in the nonlinear Dirac equation with a trapping potential 2014 Scipio Cuccagna
Mirko Tarulli
+ On asymptotic stability of moving ground states of the nonlinear Schrödinger equation 2014 Scipio Cuccagna
+ On asymptotic stability of N-solitons of the defocusing nonlinear Schrodinger equation 2014 Scipio Cuccagna
R. M. Jenkins
+ On weak interaction between a ground state and a trapping potential 2014 Scipio Cuccagna
Masaya Maeda
+ On stabilization of small solutions in the nonlinear Dirac equation with a trapping potential 2014 Scipio Cuccagna
Mirko Tarulli
+ PDF Chat The asymptotic stability of solitons in the cubic NLS equation on the line 2013 Scipio Cuccagna
Dmitry E. Pelinovsky
+ PDF Chat On weak interaction between a ground state and a non-trapping potential 2013 Scipio Cuccagna
Masaya Maeda
+ PDF Chat Decay and Scattering of Small Solutions of Pure Power NLS in ℝ with <i>p</i> &gt; 3 and with a Potential 2013 Scipio Cuccagna
Nicola Visciglia
Vladimir Georgiev
+ The asymptotic stability of solitons in the cubic NLS equation on the line 2013 Scipio Cuccagna
Dmitry E. Pelinovsky
+ On weak interaction between a ground state and a non-trapping potential 2013 Scipio Cuccagna
Masaya Maeda
+ The asymptotic stability of solitons in the cubic NLS equation on the line 2013 Scipio Cuccagna
Dmitry E. Pelinovsky
+ Decay and scattering of small solutions of pure power NLS in $\R$ with $p>3$ and with a potential 2012 Scipio Cuccagna
Vladimir Georgiev
Nicola Visciglia
+ PDF Chat On Stability of Standing Waves of Nonlinear Dirac Equations 2012 Nabile BoussaĂŻd
Scipio Cuccagna
+ On the Darboux and Birkhoff steps in the asymptotic stability of solitons 2012 Scipio Cuccagna
+ On instability for the quintic nonlinear Schrodinger equation of some approximate periodic solutions 2012 Jeremy L. Marzuola
Scipio Cuccagna
+ Decay and scattering of small solutions of pure power NLS in $\R$ with $p&gt;3$ and with a potential 2012 Scipio Cuccagna
Vladimir Georgiev
Nicola Visciglia
+ PDF Chat On dispersion of small energy solutions of the nonlinear Klein Gordon equation with a potential 2011 Dario Bambusi
Scipio Cuccagna
+ On asymptotic stability of moving ground states of the nonlinear Schrodinger equation 2011 Scipio Cuccagna
+ PDF Chat The Hamiltonian Structure of the Nonlinear Schrödinger Equation and the Asymptotic Stability of its Ground States 2011 Scipio Cuccagna
+ On instability of some approximate periodic solutions for the full nonlinear Schrödinger equation 2011 Scipio Cuccagna
Jeremy L. Marzuola
+ On asymptotic stability of moving ground states of the nonlinear Schrodinger equation 2011 Scipio Cuccagna
+ PDF Chat On scattering of small energy solutions of non-autonomous hamiltonian nonlinear Schrödinger equations 2010 Scipio Cuccagna
+ On asymptotic stability of ground states of NLS with a finite bands periodic potential in 1D 2010 Scipio Cuccagna
Nicola Visciglia
+ On scattering of small energy solutions of non autonomous hamiltonian nonlinear Schr\"odinger equations 2010 Scipio Cuccagna
+ On scattering of small energy solutions of non autonomous hamiltonian nonlinear Schrödinger equations 2010 Scipio Cuccagna
+ The Hamiltonian structure of the nonlinear Schr\"odinger equation and the asymptotic stability of its ground states 2009 Scipio Cuccagna
+ PDF Chat Orbitally but not asymptotically stable ground states for the discrete NLS 2009 Scipio Cuccagna
+ PDF Chat Scattering for small energy solutions of NLS with periodic potential in 1D 2009 Scipio Cuccagna
Nicola Visciglia
+ PDF Chat <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup></mml:math> continuity of wave operators in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mi mathvariant="double-struck">Z</mml:mi></mml:math> 2009 Scipio Cuccagna
+ Stability of solitary manifold near critical solitary wave 2009 Andrew Comech
Scipio Cuccagna
+ On dispersion of small energy solutions of the nonlinear Klein Gordon equation with a potential 2009 Dario Bambusi
Scipio Cuccagna
+ On Asymptotic Stability of Standing Waves of Discrete Schrödinger Equation in $\mathbb{Z}$ 2009 Scipio Cuccagna
Mirko Tarulli
+ On asymptotic stability in energy space of ground states of NLS in 2D 2009 Scipio Cuccagna
Mirko Tarulli
+ The Hamiltonian structure of the nonlinear Schrödinger equation and the asymptotic stability of its ground states 2009 Scipio Cuccagna
+ PDF Chat On asymptotic stability in energy space of ground states of NLS in 2D 2008 Scipio Cuccagna
Mirko Tarulli
+ An invariant set in energy space for supercritical NLS in 1D 2008 Scipio Cuccagna
+ PDF Chat On dispersion for Klein Gordon equation with periodic potential in 1D 2008 Scipio Cuccagna
+ PDF Chat Dispersion for Schrödinger Equation with Periodic Potential in 1D 2008 Scipio Cuccagna
+ PDF Chat On instability of excited states of the nonlinear Schrödinger equation 2008 Scipio Cuccagna
+ PDF Chat On Asymptotic Stability in Energy Space of Ground States for Nonlinear Schrödinger Equations 2008 Scipio Cuccagna
Tetsu Mizumachi
+ PDF Chat On asymptotic stability in energy space of ground states of NLS in 1D 2008 Scipio Cuccagna
+ On asymptotic stability in 3D of kinks for the $\phi ^4$ model 2008 Scipio Cuccagna
+ $L^p$ continuity of wave operators in $\Bbb Z$ 2008 Scipio Cuccagna
+ An invariant set in energy space for supercritical NLS in 1D 2008 Scipio Cuccagna
+ On asymptotic stability of standing waves of discrete Schrödinger equation in $\Bbb Z$ 2008 Scipio Cuccagna
Mirko Tarulli
+ On instability of excited states of the nonlinear Schrödinger equation 2008 Scipio Cuccagna
+ On asymptotic stability of ground states of NLS with a finite bands periodic potential in 1D 2008 Scipio Cuccagna
Nicola Visciglia
+ Orbitally but not asymptotically stable ground states for the discrete NLS 2008 Scipio Cuccagna
+ Scattering for small energy solutions of NLS with periodic potential in 1D 2008 Scipio Cuccagna
Nicola Visciglia
+ On asymptotic stability in 3D of kinks for the $ϕ^4$ model 2008 Scipio Cuccagna
+ On asymptotic stability in 3D of kinks for the 𝜙 model 2007 Scipio Cuccagna
+ On asymptotic stability in energy space of ground states of NLS in 1D 2007 Scipio Cuccagna
+ A revision of "On asymptotic stability in energy space of ground states of NLS in 1D" 2007 Scipio Cuccagna
+ Strichartz estimates for Schroedinger equations with periodic potential in 1D 2007 Scipio Cuccagna
Nicola Visciglia
+ PDF Chat Nonlinear Instability of a Critical Traveling Wave in the Generalized Korteweg–de Vries Equation 2007 Andrew Comech
Scipio Cuccagna
Dmitry E. Pelinovsky
+ On dispersion for Klein Gordon equation with periodic potential in 1D 2007 Scipio Cuccagna
+ Dispersion for Schrödinger equation with periodic potential in 1D 2006 Scipio Cuccagna
+ Nonlinear instability of a critical traveling wave in the generalized Korteweg -- de Vries equation 2006 Andrew Comech
Scipio Cuccagna
Dmitry E. Pelinovsky
+ Stability of standing waves for NLS with perturbed Lamé potential 2005 Scipio Cuccagna
+ Parametric resonance of ground states in the nonlinear Schrödinger equation 2005 Scipio Cuccagna
E. Kirr
Dmitry E. Pelinovsky
+ Bifurcations from the endpoints of the essential spectrum in the linearized nonlinear Schrödinger problem 2005 Scipio Cuccagna
Dmitry E. Pelinovsky
+ PDF Chat Erratum: Stabilization of solutions to nonlinear Schrödinger equations 2004 Scipio Cuccagna
+ Spectra of positive and negative energies in the linearized NLS problem 2004 Scipio Cuccagna
Dmitry E. Pelinovsky
Vitali Vougalter
+ Dispersive Nonlinear Problems in Mathematical Physics 2004 Scipio Cuccagna
+ ON ASYMPTOTIC STABILITY OF GROUND STATES OF NLS 2003 Scipio Cuccagna
+ On 𝐿^{𝑝} continuity of singular Fourier integral operators 2003 Andrew Comech
Scipio Cuccagna
+ Stabilization of solutions to nonlinear Schrödinger equations 2001 Scipio Cuccagna
+ On the wave equation with a magnetic potential 2001 Scipio Cuccagna
Pedro Paulo Schirmer
+ La Stabilita Asintotica dei Ground States della NLS 2001 Scipio Cuccagna
+ On the wave equation with a magnetic potential 2000 Scipio Cuccagna
Pedro Paulo Schirmer
+ None 2000 Andrew Comech
Scipio Cuccagna
+ On the local existence for the maxwell-klein-gordon system in R<sup>3+1</sup> 1999 Scipio Cuccagna
+ On the wave equation with a potential 1999 Scipio Cuccagna
+ PDF Chat Sobolev estimates for operators given by averages over cones 1998 Scipio Cuccagna
+ L2 estimates for averaging operators along curves with two-sided k-fold singularities 1997 Scipio Cuccagna
+ Sobolev Estimates for Fractional and Singular Radon Transforms 1996 Scipio Cuccagna
+ On the Mapping Class Group of Spherical 3-Orbifolds 1992 Scipio Cuccagna
Bruno Zimmermann
+ PDF Chat On the mapping class group of spherical 3-orbifolds 1992 Scipio Cuccagna
Bruno Zimmermann
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Resonances, radiation damping and instabilitym in Hamiltonian nonlinear wave equations 1999 Avy Soffer
Michael I. Weinstein
36
+ PDF Chat Multichannel nonlinear scattering for nonintegrable equations 1990 Avy Soffer
Michael I. Weinstein
35
+ Spectra of positive and negative energies in the linearized NLS problem 2004 Scipio Cuccagna
Dmitry E. Pelinovsky
Vitali Vougalter
30
+ PDF Chat SELECTION OF THE GROUND STATE FOR NONLINEAR SCHRÖDINGER EQUATIONS 2004 Avy Soffer
Michael I. Weinstein
27
+ PDF Chat The Hamiltonian Structure of the Nonlinear Schrödinger Equation and the Asymptotic Stability of its Ground States 2011 Scipio Cuccagna
27
+ None 2004 Stephen J. Gustafson
Kenji Nakanishi
Tai‐Peng Tsai
27
+ ON ASYMPTOTIC STABILITY OF GROUND STATES OF NLS 2003 Scipio Cuccagna
26
+ PDF Chat Multichannel nonlinear scattering for nonintegrable equations II. The case of anisotropic potentials and data 1992 Avy Soffer
Michael I. Weinstein
25
+ Invariant Manifolds for a Class of Dispersive, Hamiltonian, Partial Differential Equations 1997 Claude‐Alain Pillet
C. Eugene Wayne
25
+ Stability theory of solitary waves in the presence of symmetry, I 1987 Manoussos G. Grillakis
Jalal Shatah
Walter A. Strauss
24
+ Stability theory of solitary waves in the presence of symmetry, II 1990 Manoussos G. Grillakis
Jalal Shatah
Walter A. Strauss
23
+ PDF Chat Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data 2002 Tai‐Peng Tsai
Horng‐Tzer Yau
23
+ PDF Chat Asymptotic dynamics of nonlinear Schrödinger equations: Resonance‐dominated and dispersion‐dominated solutions 2001 Tai‐Peng Tsai
Horng‐Tzer Yau
21
+ PDF Chat On Asymptotic Stability in Energy Space of Ground States for Nonlinear Schrödinger Equations 2008 Scipio Cuccagna
Tetsu Mizumachi
21
+ Lyapunov stability of ground states of nonlinear dispersive evolution equations 1986 Michael I. Weinstein
21
+ PDF Chat On small energy stabilization in the NLS with a trapping potential 2015 Scipio Cuccagna
Masaya Maeda
20
+ Modulational Stability of Ground States of Nonlinear Schrödinger Equations 1985 Michael I. Weinstein
20
+ Inverse scattering on the line 1979 Percy Deift
Eugene Trubowitz
20
+ Wave Operators and Similarity for Some Non-selfadjoint Operators 1966 Tosio Kato
20
+ Asymptotic stability of small solitons to 1D NLS with potential 2006 Tetsu Mizumachi
19
+ PDF Chat On dispersion of small energy solutions of the nonlinear Klein Gordon equation with a potential 2011 Dario Bambusi
Scipio Cuccagna
19
+ PDF Chat The Wk,p-continuity of wave operators for Schrödinger operators 1995 Kenji Yajima
18
+ PDF Chat None 2002 Tai‐Peng Tsai
Horng‐Tzer Yau
17
+ Wave operators and similarity for some non-selfadjoint operators 1966 Tosio Kato
17
+ Lp−Lp Estimates for the Schrödinger Equation on the Line and Inverse Scattering for the Nonlinear Schrödinger Equation with a Potential 2000 Ricardo Weder
17
+ Stabilization of solutions to nonlinear Schrödinger equations 2001 Scipio Cuccagna
17
+ PDF Chat Relaxation of solitons in nonlinear Schrödinger equations with potential 2007 Zhou Gang
Israel Michael Sigal
16
+ Asymptotic dynamics of nonlinear Schrödinger equations with many bound states 2003 Tai‐Peng Tsai
16
+ On the stability of solitary waves for nonlinear Schrödinger equations 1995 V. S. Buslaev
Galina Perelman
15
+ Non-linear wave and Schrödinger equations 1993 Israel Michael Sigal
15
+ Asymptotic stability of N-soliton states of NLS 2003 Igor Rodnianski
Wilhelm Schlag
Avy Soffer
15
+ PDF Chat On asymptotic stability of solitary waves for nonlinear Schrödinger equations 2003 V. S. Buslaev
Catherine Sulem
14
+ PDF Chat Perturbation expansion and Nth order Fermi golden rule of the nonlinear Schrödinger equations 2007 Zhou Gang
13
+ PDF Chat On asymptotic stability in energy space of ground states of NLS in 1D 2008 Scipio Cuccagna
13
+ Spectral properties of Schrödinger operators and time-decay of the wave functions 1979 Arne Jensen
Tosio Kato
13
+ On instability of excited states of the nonlinear Schrödinger equation 2008 Scipio Cuccagna
13
+ PDF Chat Asymptotic stability of small solitons for 2D Nonlinear Schrödinger equations with potential 2007 Tetsu Mizumachi
13
+ PDF Chat STABLE DIRECTIONS FOR EXCITED STATES OF NONLINEAR SCHRÖDINGER EQUATIONS 2002 Tai‐Peng Tsai
Horng‐Tzer Yau
12
+ On asymptotic stability of moving ground states of the nonlinear Schrödinger equation 2014 Scipio Cuccagna
12
+ Semilinear Schrödinger Equations 2003 Thierry Cazenave
12
+ PDF Chat On Stability of Standing Waves of Nonlinear Dirac Equations 2012 Nabile BoussaĂŻd
Scipio Cuccagna
12
+ PDF Chat On weak interaction between a ground state and a non-trapping potential 2013 Scipio Cuccagna
Masaya Maeda
12
+ PDF Chat Asymptotic stability of small solitary waves to 1D nonlinear Schrödinger equations with potential 2008 Tetsu Mizumachi
11
+ Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations 1999 A. SoÄer
11
+ Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension 2006 Joachim Krieger
Wilhelm Schlag
11
+ PDF Chat Asymptotic stability of solitons of the gKdV equations with general nonlinearity 2007 Yvan Martel
Frank Merle
11
+ PDF Chat Instability of nonlinear bound states 1985 Jalal Shatah
Walter A. Strauss
11
+ Global strichartz estimates for nonthapping perturbations of the laplacian 2000 Hart F. Smith
Christopher D. Sogge
10
+ Decay estimates for Schrödinger operators 1991 Jean-Lin Journé
Avy Soffer
Christopher D. Sogge
10
+ Purely nonlinear instability of standing waves with minimal energy 2003 Andrew Comech
Dmitry E. Pelinovsky
10