×
Compute Distance To:
Author ID: cuccagna.scipio Recent zbMATH articles by "Cuccagna, Scipio"
Published as: Cuccagna, Scipio; Cuccagna, S.
External Links: ORCID · dblp
Documents Indexed: 53 Publications since 1992
Co-Authors: 15 Co-Authors with 30 Joint Publications
439 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 692 times in 348 Documents Cited by Year
Stabilization of solutions to nonlinear Schrödinger equations. Zbl 1031.35129
Cuccagna, Scipio
87
2001
Spectra of positive and negative energies in the linearized NLS problem. Zbl 1064.35181
Cuccagna, S.; Pelinovsky, D.; Vougalter, V.
57
2005
On instability of excited states of the nonlinear Schrödinger equation. Zbl 1161.35500
Cuccagna, Scipio
41
2009
On asymptotic stability of ground states of NLS. Zbl 1084.35089
Cuccagna, Scipio
37
2003
On asymptotic stability in energy space of ground states for nonlinear Schrödinger equations. Zbl 1155.35092
Cuccagna, Scipio; Mizumachi, Tetsu
35
2008
On dispersion of small energy solutions of the nonlinear Klein-Gordon equation with a potential. (On dispersion of small energy solutions of the nonlinear Klein Gordon equation with a potential.) Zbl 1237.35115
Bambusi, Dario; Cuccagna, Scipio
33
2011
The Hamiltonian structure of the nonlinear Schrödinger equation and the asymptotic stability of its ground states. Zbl 1222.35183
Cuccagna, Scipio
30
2011
On asymptotic stability of standing waves of discrete Schrödinger equation in \(\mathbb{Z}\). Zbl 1189.35303
Cuccagna, Scipio; Tarulli, Mirko
21
2009
On stability of standing waves of nonlinear Dirac equations. Zbl 1251.35098
Boussaid, Nabile; Cuccagna, Scipio
21
2012
On asymptotic stability in 3D of kinks for the \(\varphi ^4\) model. Zbl 1138.35062
Cuccagna, Scipio
20
2008
On the asymptotic stability of \(N\)-soliton solutions of the defocusing nonlinear Schrödinger equation. Zbl 1342.35326
Cuccagna, Scipio; Jenkins, Robert
20
2016
On the local existence for the Maxwell-Klein-Gordon system in \(\mathbb{R}^{3+1}\). Zbl 0929.35151
Cuccagna, Scipio
18
1999
The asymptotic stability of solitons in the cubic NLS equation on the line. Zbl 1457.35067
Cuccagna, Scipio; Pelinovsky, Dmitry E.
18
2014
On small energy stabilization in the NLS with a trapping potential. Zbl 1326.35335
Cuccagna, Scipio; Maeda, Masaya
17
2015
On asymptotic stability in energy space of ground states of NLS in 1D. Zbl 1185.35251
Cuccagna, Scipio
17
2008
On asymptotic stability of moving ground states of the nonlinear Schrödinger equation. Zbl 1293.35289
Cuccagna, Scipio
16
2014
Decay and scattering of small solutions of pure power NLS in \(\mathbb R\) with \(p>3\) and with a potential. Zbl 1293.35290
Cuccagna, Scipio; Georgiev, Vladimir; Visciglia, Nicola
14
2014
\(L^2\) estimates for averaging operators along curves with two-sided \(k\)-fold singularities. Zbl 0908.47050
Cuccagna, Scipio
13
1997
On the wave equation with a potential. Zbl 0951.35021
Cuccagna, Scipio
13
2000
On weak interaction between a ground state and a non-trapping potential. Zbl 1285.35107
Cuccagna, Scipio; Maeda, Masaya
12
2014
On asymptotic stability in energy space of ground states of NLS in 2D. Zbl 1171.35470
Cuccagna, Scipio; Tarulli, Mirko
10
2009
Sobolev estimates for fractional and singular Radon transforms. Zbl 0859.42014
Cuccagna, Scipio
10
1996
On the wave equation with a magnetic potential. Zbl 1032.35122
Cuccagna, Scipio; Schirmer, Pedro Paulo
10
2001
Bifurcations from the endpoints of the essential spectrum in the linearized nonlinear Schrödinger problem. Zbl 1110.35082
Cuccagna, Scipio; Pelinovsky, Dmitry
9
2005
Parametric resonance of ground states in the nonlinear Schrödinger equation. Zbl 1081.35101
Cuccagna, S.; Kirr, E.; Pelinovsky, D.
9
2006
A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. Zbl 1130.35360
Cuccagna, Scipio
8
2004
On the Darboux and Birkhoff steps in the asymptotic stability of solitons. Zbl 1417.37254
Cuccagna, Scipio
8
2012
On orbital instability of spectrally stable vortices of the NLS in the plane. Zbl 1360.35240
Cuccagna, Scipio; Maeda, Masaya
8
2016
Dispersion for Schrödinger equation with periodic potential in 1D. Zbl 1163.35032
Cuccagna, Scipio
8
2008
Stability of standing waves for NLS with perturbed Lamé potential. Zbl 1115.35120
Cuccagna, Scipio
7
2006
Nonlinear instability of a critical traveling wave in the generalized Korteweg-de Vries equation. Zbl 1136.35077
Comech, Andrew; Cuccagna, Scipio; Pelinovsky, Dmitry E.
6
2007
On stabilization of small solutions in the nonlinear Dirac equation with a trapping potential. Zbl 1334.35264
Cuccagna, Scipio; Tarulli, Mirko
6
2016
On small energy stabilization in the NLKG with a trapping potential. Zbl 1356.35142
Cuccagna, Scipio; Maeda, Masaya; Phan, Tuoc V.
5
2016
On scattering of small energy solutions of non-autonomous Hamiltonian nonlinear Schrödinger equations. Zbl 1216.35134
Cuccagna, Scipio
5
2011
On asymptotic stability of ground states of NLS with a finite bands periodic potential in 1D. Zbl 1298.35191
Cuccagna, Scipio; Visciglia, Nicola
5
2011
On stability of small solitons of the 1-D NLS with a trapping delta potential. Zbl 1428.35430
Cuccagna, Scipio; Maeda, Masaya
5
2019
On weak interaction between a ground state and a trapping potential. Zbl 1307.35276
Cuccagna, Scipio; Maeda, Masaya
4
2015
Asymptotic stability of the ground states of the nonlinear Schrödinger equation. Zbl 1006.35088
Cuccagna, Scipio
4
2001
\(L^p\) continuity of wave operators in \(\mathbb Z\). Zbl 1177.39027
Cuccagna, Scipio
4
2009
Integral operators with two-sided cusp singularities. Zbl 0973.35206
Comech, Andrew; Cuccagna, Scipio
4
2000
Scattering for small energy solutions of NLS with periodic potential in 1D. Zbl 1163.35033
Cuccagna, Scipio; Visciglia, Nicola
3
2009
Orbitally but not asymptotically stable ground states for the discrete NLs. Zbl 1180.35479
Cuccagna, Scipio
3
2010
On dispersion for Klein Gordon equation with periodic potential in 1D. Zbl 1178.35093
Cuccagna, Scipio
2
2008
An invariant set in energy space for supercritical NLS in 1D. Zbl 1160.35534
Cuccagna, Scipio
2
2009
Long time oscillation of solutions of nonlinear Schrödinger equations near minimal mass ground state. Zbl 1439.35439
Cuccagna, Scipio; Maeda, Masaya
2
2020
On the mapping class group of spherical 3-orbifolds. Zbl 0769.57012
Cuccagna, Scipio; Zimmermann, Bruno
1
1992
On \(L^p\) continuity of singular Fourier integral operators. Zbl 1107.35107
Comech, Andrew; Cuccagna, Scipio
1
2003
On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations. Zbl 1460.35321
Comech, Andrew; Cuccagna, Scipio
1
2021
A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II. Zbl 1475.35313
Cuccagna, Scipio; Maeda, Masaya
1
2021
On nonlinear profile decompositions and scattering for an NLS-ODE model. Zbl 1460.35322
Cuccagna, Scipio; Maeda, Masaya
1
2020
On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations. Zbl 1460.35321
Comech, Andrew; Cuccagna, Scipio
1
2021
A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II. Zbl 1475.35313
Cuccagna, Scipio; Maeda, Masaya
1
2021
Long time oscillation of solutions of nonlinear Schrödinger equations near minimal mass ground state. Zbl 1439.35439
Cuccagna, Scipio; Maeda, Masaya
2
2020
On nonlinear profile decompositions and scattering for an NLS-ODE model. Zbl 1460.35322
Cuccagna, Scipio; Maeda, Masaya
1
2020
On stability of small solitons of the 1-D NLS with a trapping delta potential. Zbl 1428.35430
Cuccagna, Scipio; Maeda, Masaya
5
2019
On the asymptotic stability of \(N\)-soliton solutions of the defocusing nonlinear Schrödinger equation. Zbl 1342.35326
Cuccagna, Scipio; Jenkins, Robert
20
2016
On orbital instability of spectrally stable vortices of the NLS in the plane. Zbl 1360.35240
Cuccagna, Scipio; Maeda, Masaya
8
2016
On stabilization of small solutions in the nonlinear Dirac equation with a trapping potential. Zbl 1334.35264
Cuccagna, Scipio; Tarulli, Mirko
6
2016
On small energy stabilization in the NLKG with a trapping potential. Zbl 1356.35142
Cuccagna, Scipio; Maeda, Masaya; Phan, Tuoc V.
5
2016
On small energy stabilization in the NLS with a trapping potential. Zbl 1326.35335
Cuccagna, Scipio; Maeda, Masaya
17
2015
On weak interaction between a ground state and a trapping potential. Zbl 1307.35276
Cuccagna, Scipio; Maeda, Masaya
4
2015
The asymptotic stability of solitons in the cubic NLS equation on the line. Zbl 1457.35067
Cuccagna, Scipio; Pelinovsky, Dmitry E.
18
2014
On asymptotic stability of moving ground states of the nonlinear Schrödinger equation. Zbl 1293.35289
Cuccagna, Scipio
16
2014
Decay and scattering of small solutions of pure power NLS in \(\mathbb R\) with \(p>3\) and with a potential. Zbl 1293.35290
Cuccagna, Scipio; Georgiev, Vladimir; Visciglia, Nicola
14
2014
On weak interaction between a ground state and a non-trapping potential. Zbl 1285.35107
Cuccagna, Scipio; Maeda, Masaya
12
2014
On stability of standing waves of nonlinear Dirac equations. Zbl 1251.35098
Boussaid, Nabile; Cuccagna, Scipio
21
2012
On the Darboux and Birkhoff steps in the asymptotic stability of solitons. Zbl 1417.37254
Cuccagna, Scipio
8
2012
On dispersion of small energy solutions of the nonlinear Klein-Gordon equation with a potential. (On dispersion of small energy solutions of the nonlinear Klein Gordon equation with a potential.) Zbl 1237.35115
Bambusi, Dario; Cuccagna, Scipio
33
2011
The Hamiltonian structure of the nonlinear Schrödinger equation and the asymptotic stability of its ground states. Zbl 1222.35183
Cuccagna, Scipio
30
2011
On scattering of small energy solutions of non-autonomous Hamiltonian nonlinear Schrödinger equations. Zbl 1216.35134
Cuccagna, Scipio
5
2011
On asymptotic stability of ground states of NLS with a finite bands periodic potential in 1D. Zbl 1298.35191
Cuccagna, Scipio; Visciglia, Nicola
5
2011
Orbitally but not asymptotically stable ground states for the discrete NLs. Zbl 1180.35479
Cuccagna, Scipio
3
2010
On instability of excited states of the nonlinear Schrödinger equation. Zbl 1161.35500
Cuccagna, Scipio
41
2009
On asymptotic stability of standing waves of discrete Schrödinger equation in \(\mathbb{Z}\). Zbl 1189.35303
Cuccagna, Scipio; Tarulli, Mirko
21
2009
On asymptotic stability in energy space of ground states of NLS in 2D. Zbl 1171.35470
Cuccagna, Scipio; Tarulli, Mirko
10
2009
\(L^p\) continuity of wave operators in \(\mathbb Z\). Zbl 1177.39027
Cuccagna, Scipio
4
2009
Scattering for small energy solutions of NLS with periodic potential in 1D. Zbl 1163.35033
Cuccagna, Scipio; Visciglia, Nicola
3
2009
An invariant set in energy space for supercritical NLS in 1D. Zbl 1160.35534
Cuccagna, Scipio
2
2009
On asymptotic stability in energy space of ground states for nonlinear Schrödinger equations. Zbl 1155.35092
Cuccagna, Scipio; Mizumachi, Tetsu
35
2008
On asymptotic stability in 3D of kinks for the \(\varphi ^4\) model. Zbl 1138.35062
Cuccagna, Scipio
20
2008
On asymptotic stability in energy space of ground states of NLS in 1D. Zbl 1185.35251
Cuccagna, Scipio
17
2008
Dispersion for Schrödinger equation with periodic potential in 1D. Zbl 1163.35032
Cuccagna, Scipio
8
2008
On dispersion for Klein Gordon equation with periodic potential in 1D. Zbl 1178.35093
Cuccagna, Scipio
2
2008
Nonlinear instability of a critical traveling wave in the generalized Korteweg-de Vries equation. Zbl 1136.35077
Comech, Andrew; Cuccagna, Scipio; Pelinovsky, Dmitry E.
6
2007
Parametric resonance of ground states in the nonlinear Schrödinger equation. Zbl 1081.35101
Cuccagna, S.; Kirr, E.; Pelinovsky, D.
9
2006
Stability of standing waves for NLS with perturbed Lamé potential. Zbl 1115.35120
Cuccagna, Scipio
7
2006
Spectra of positive and negative energies in the linearized NLS problem. Zbl 1064.35181
Cuccagna, S.; Pelinovsky, D.; Vougalter, V.
57
2005
Bifurcations from the endpoints of the essential spectrum in the linearized nonlinear Schrödinger problem. Zbl 1110.35082
Cuccagna, Scipio; Pelinovsky, Dmitry
9
2005
A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. Zbl 1130.35360
Cuccagna, Scipio
8
2004
On asymptotic stability of ground states of NLS. Zbl 1084.35089
Cuccagna, Scipio
37
2003
On \(L^p\) continuity of singular Fourier integral operators. Zbl 1107.35107
Comech, Andrew; Cuccagna, Scipio
1
2003
Stabilization of solutions to nonlinear Schrödinger equations. Zbl 1031.35129
Cuccagna, Scipio
87
2001
On the wave equation with a magnetic potential. Zbl 1032.35122
Cuccagna, Scipio; Schirmer, Pedro Paulo
10
2001
Asymptotic stability of the ground states of the nonlinear Schrödinger equation. Zbl 1006.35088
Cuccagna, Scipio
4
2001
On the wave equation with a potential. Zbl 0951.35021
Cuccagna, Scipio
13
2000
Integral operators with two-sided cusp singularities. Zbl 0973.35206
Comech, Andrew; Cuccagna, Scipio
4
2000
On the local existence for the Maxwell-Klein-Gordon system in \(\mathbb{R}^{3+1}\). Zbl 0929.35151
Cuccagna, Scipio
18
1999
\(L^2\) estimates for averaging operators along curves with two-sided \(k\)-fold singularities. Zbl 0908.47050
Cuccagna, Scipio
13
1997
Sobolev estimates for fractional and singular Radon transforms. Zbl 0859.42014
Cuccagna, Scipio
10
1996
On the mapping class group of spherical 3-orbifolds. Zbl 0769.57012
Cuccagna, Scipio; Zimmermann, Bruno
1
1992
all top 5

Cited by 312 Authors

29 Cuccagna, Scipio
23 Komech, Alexander Ilich
23 Kopylova, Elena A.
21 Pelinovsky, Dmitry Efimovich
18 Comech, Andrew
11 Maeda, Masaya
10 Chen, Jianhua
10 Vougalter, Vitali
9 Cheng, Bitao
9 Muñoz, Claudio
7 Deng, Yinbin
7 Fan, Engui
7 Soffer, Avraham
7 Volpert, Vitaly A.
6 Georgiev, Vladimir S.
6 Kowalczyk, Michał
6 Krieger, Joachim
6 Martel, Yvan
6 Schlag, Wilhelm
6 Tang, Xianhua
6 Tsai, Tai-Peng
6 Visciglia, Nicola
5 Boussaid, Nabile
5 Gang, Zhou
5 Greenblatt, Michael
5 Huang, Xianjiu
5 Marzuola, Jeremy L.
5 Mizumachi, Tetsu
5 Sulem, Catherine
4 Bambusi, Dario
4 Beceanu, Marius
4 Kevrekidis, Panayotis G.
4 Liu, Jiaqi
4 Peng, Shuangjie
4 Phan, Tuoc Van
4 Seeger, Andreas
4 Selberg, Sigmund
4 Sigal, Israel Michael
4 Simpson, Gideon
4 Stefanov, Atanas G.
4 Tarulli, Mirko
3 Contreras, Andres A.
3 de S. Germano, Diogo
3 Deng, Qingquan
3 Fröhlich, Jürg Martin
3 Gustafson, Stephen J.
3 Imaikin, Valery
3 Kairzhan, Adilbek
3 Kapitula, Todd M.
3 Li, Quanqing
3 Nakanishi, Kenji
3 Oh, Sung-Jin
3 Pecher, Hartmut
3 Perry, Peter A.
3 Severo, Uberlandio Batista
3 Tao, Terence
3 Tataru, Daniel
3 Teschl, Gerald
3 Wu, Xian
3 Yao, Xiaohua
3 Zhang, Junyong
3 Zheng, Jiqiang
3 Zheng, Shijun
2 Adami, Riccardo
2 Alejo, Miguel A.
2 Bentsen, Geoffrey
2 Buslaev, Vladimir Savel’evich
2 Chen, Gong
2 D’Ancona, Piero
2 Donninger, Roland
2 Dudnikova, Tat’yana V.
2 Egorova, Iryna
2 Erdoğan, Mehmet Burak
2 Fanelli, Luca
2 Feng, Binhua
2 Gao, Xiaofen
2 Goldberg, Michael Joseph
2 Goodman, Roy H.
2 Green, William R.
2 Greenleaf, Allan
2 Gressman, Philip T.
2 Jerrard, Robert Leon
2 Kim, Seongyeon
2 Kirr, Eduard
2 Krueger, August J.
2 Laghi, Norberto
2 Li, Ze
2 Li, Zhiqiang
2 Lin, Zhiwu
2 McLaughlin, Kenneth D. T.-R.
2 Mi, Yue
2 Mochizuki, Kiyoshi
2 Naumkin, Ivan P.
2 Noja, Diego
2 Ortoleva, Cecilia
2 Pérez-García, Víctor Manuel
2 Pramanik, Malabika
2 Prill, Oskar
2 Saalmann, Aaron
2 Sandstede, Björn
...and 212 more Authors
all top 5

Cited in 98 Serials

26 Journal of Differential Equations
21 Communications in Mathematical Physics
21 Journal of Mathematical Physics
17 Journal of Functional Analysis
17 Communications in Partial Differential Equations
14 Journal of Mathematical Analysis and Applications
13 Discrete and Continuous Dynamical Systems
12 Physica D
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Communications on Pure and Applied Analysis
6 Advances in Mathematics
6 SIAM Journal on Mathematical Analysis
5 Duke Mathematical Journal
5 Proceedings of the American Mathematical Society
5 Transactions of the American Mathematical Society
5 The Journal of Geometric Analysis
5 Russian Journal of Mathematical Physics
5 Annals of PDE
4 Applicable Analysis
4 Nonlinearity
4 Reviews in Mathematical Physics
4 Applied Mathematics Letters
4 Journal of Hyperbolic Differential Equations
3 Communications on Pure and Applied Mathematics
3 Letters in Mathematical Physics
3 Russian Mathematical Surveys
3 Mathematische Annalen
3 Memoirs of the American Mathematical Society
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Studies in Applied Mathematics
3 Journal of the American Mathematical Society
3 Journal of Nonlinear Science
3 The Journal of Fourier Analysis and Applications
3 Journal of the European Mathematical Society (JEMS)
3 SIAM Journal on Applied Dynamical Systems
3 Analysis and Mathematical Physics
2 Archive for Rational Mechanics and Analysis
2 Mathematical Methods in the Applied Sciences
2 Physics Letters. A
2 Illinois Journal of Mathematics
2 Indiana University Mathematics Journal
2 Journal of the Mathematical Society of Japan
2 Mathematische Zeitschrift
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Calculus of Variations and Partial Differential Equations
2 NoDEA. Nonlinear Differential Equations and Applications
2 Annales Henri Poincaré
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Analysis in Theory and Applications
2 Mediterranean Journal of Mathematics
2 Complex Variables and Elliptic Equations
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Spectral Theory
1 Astrophysics and Space Science
1 Computers & Mathematics with Applications
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Journal of Statistical Physics
1 Mathematical Notes
1 Theoretical and Mathematical Physics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Inventiones Mathematicae
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Proceedings of the London Mathematical Society. Third Series
1 Quarterly of Applied Mathematics
1 SIAM Journal on Numerical Analysis
1 Acta Applicandae Mathematicae
1 Asymptotic Analysis
1 Forum Mathematicum
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Mathematical Sciences (New York)
1 Mathematical Problems in Engineering
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Mathematical Inequalities & Applications
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Communications in Contemporary Mathematics
1 Nonlinear Analysis. Real World Applications
1 Dynamical Systems
1 Portugaliae Mathematica. Nova Série
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Milan Journal of Mathematics
1 Proceedings of the Steklov Institute of Mathematics
1 Communications in Mathematical Analysis
1 Complex Analysis and Operator Theory
1 Frontiers of Mathematics in China
1 Journal of Physics A: Mathematical and Theoretical
1 Mathematical Modelling of Natural Phenomena
1 Advances in Mathematical Physics
1 Science China. Mathematics
1 Journal of Pseudo-Differential Operators and Applications
1 Annales Mathématiques du Québec
1 Evolution Equations and Control Theory
1 Journal of Computational Dynamics
1 Arnold Mathematical Journal
1 Séminaire Laurent Schwartz. EDP et Applications

Citations by Year