Compute Distance To:
 Documents Indexed: 42 Publications since 1998 Co-Authors: 28 Co-Authors with 39 Joint Publications 547 Co-Co-Authors
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### Co-Authors

 3 single-authored 12 Noja, Diego 8 Teta, Alessandro 7 Finco, Domenico 7 Serra, Enrico 7 Tilli, Paolo 5 Cacciapuoti, Claudio 4 Dovetta, Simone 4 Figari, Rodolfo 2 Dell’Antonio, Gian Fausto 2 Fukuizumi, Reika 2 Golse, François 2 Negulescu, Claudia 2 Ortoleva, Cecilia 1 Bardos, Claude Williams 1 Boni, Filippo 1 Boscain, Ugo 1 Carlone, Raffaele 1 Correggi, Michele 1 Erdős, László 1 Franceschi, Valentina 1 Hauray, Maxime 1 Holmer, Justin 1 Prandi, Dario 1 Ruighi, Alice 1 Sacchetti, Andrea 1 Segawa, Etsuo 1 Tentarelli, Lorenzo 1 Visciglia, Nicola
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### Serials

 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Communications in Mathematical Physics 3 Journal of Differential Equations 3 Journal of Functional Analysis 2 Journal of Statistical Physics 2 Journal of Physics A: Mathematical and General 2 Calculus of Variations and Partial Differential Equations 2 Journal of Physics A: Mathematical and Theoretical 2 Mathematical Modelling of Natural Phenomena 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Reviews in Mathematical Physics 1 Transactions of the American Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Asymptotic Analysis 1 Discrete and Continuous Dynamical Systems 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Discrete and Continuous Dynamical Systems. Series B 1 Quantum Information Processing 1 Communications in Mathematical Sciences 1 Communications in Computational Physics 1 Analysis & PDE 1 Rivista di Matematica della Università di Parma. New Series 1 Communications in Applied and Industrial Mathematics 1 Nanosistemy: Fizika, Khimiya, Matematika
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### Fields

 36 Partial differential equations (35-XX) 25 Quantum theory (81-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Combinatorics (05-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

37 Publications have been cited 676 times in 260 Documents Cited by Year
Rigorous derivation of the cubic NLS in dimension one. Zbl 1118.81021
Adami, Riccardo; Golse, François; Teta, Alessandro
2007
NLS ground states on graphs. Zbl 1330.35484
Adami, Riccardo; Serra, Enrico; Tilli, Paolo
2015
Variational properties and orbital stability of standing waves for NLS equation on a star graph. Zbl 1300.35129
Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego
2014
Threshold phenomena and existence results for NLS ground states on metric graphs. Zbl 1338.35448
Adami, Riccardo; Serra, Enrico; Tilli, Paolo
2016
On the Aharonov-Bohm Hamiltonian. Zbl 0907.47058
1998
Constrained energy minimization and orbital stability for the NLS equation on a star graph. Zbl 1304.81087
Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego
2014
Negative energy ground states for the $$L^{2}$$-critical NLSE on metric graphs. Zbl 1372.35319
Adami, Riccardo; Serra, Enrico; Tilli, Paolo
2017
Fast solitons on star graphs. Zbl 1222.35182
Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego
2011
On the structure of critical energy levels for the cubic focusing NLS on star graphs. Zbl 1247.81104
Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego
2012
Stable standing waves for a NLS on star graphs as local minimizers of the constrained energy. Zbl 1336.35316
Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego
2016
Multiple positive bound states for the subcritical NLS equation on metric graphs. Zbl 1405.35236
Adami, Riccardo; Serra, Enrico; Tilli, Paolo
2019
Towards a rigorous derivation of the cubic NLSE in dimension one. Zbl 1069.35082
Adami, Riccardo; Bardos, Claude; Golse, François; Teta, Alessandro
2004
A class of nonlinear Schrödinger equations with concentrated nonlinearity. Zbl 0979.35130
2001
The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity. Zbl 1028.35137
Adami, Riccardo; Dell’Antonio, Gianfausto; Figari, Rodolfo; Teta, Alessandro
2003
Stability and symmetry-breaking bifurcation for the ground states of a NLS with a $$\delta ^{\prime}$$ interaction. Zbl 1260.35194
2013
Nonlinear dynamics on branched structures and networks. Zbl 1391.35381
Adami, Riccardo; Serra, Enrico; Tilli, Paolo
2017
Existence of dynamics for a 1D NLS equation perturbed with a generalized point defect. Zbl 1184.35290
2009
Constrained energy minimization and ground states for NLS with point defects. Zbl 1280.35132
Adami, Riccardo; Noja, Diego; Visciglia, Nicola
2013
Blow-up solutions for the Schrödinger equation in dimension three with a concentrated nonlinearity. Zbl 1042.35070
Adami, Riccardo; Dell’Antonio, Gianfausto; Figari, Rodolfo; Teta, Alessandro
2004
Dimensional crossover with a continuum of critical exponents for NLS on doubly periodic metric graphs. Zbl 1414.35202
Adami, Riccardo; Dovetta, Simone; Serra, Enrico; Tilli, Paolo
2019
Orbital and asymptotic stability for standing waves of a nonlinear Schrödinger equation with concentrated nonlinearity in dimension three. Zbl 1322.35122
Adami, Riccardo; Noja, Diego; Ortoleva, Cecilia
2013
The transition from diffusion to blow-up for a nonlinear Schrödinger equation in dimension 1. Zbl 1084.35081
2005
Lack of ground state for NLSE on bridge-type graphs. Zbl 1335.35261
Adami, Riccardo; Serra, Enrico; Tilli, Paolo
2015
A simple model of concentrated nonlinearity. Zbl 0967.81010
1999
On the asymptotic dynamics of a quantum system composed by heavy and light particles. Zbl 1130.81031
Adami, Riccardo; Figari, Rodolfo; Finco, Domenico; Teta, Alessandro
2006
One-dimensional versions of three-dimensional system: ground states for the NLS on the spatial grid. Zbl 1411.35262
2018
Blow-up for the pointwise NLS in dimension two: absence of critical power. Zbl 1436.35051
Adami, Riccardo; Carlone, Raffaele; Correggi, Michele; Tentarelli, Lorenzo
2020
On the asymptotic behaviour of a quantum two-body system in the small mass ratio limit. Zbl 1062.81140
Adami, Riccardo; Figari, Rodolfo; Finco, Domenico
2004
Exactly solvable models and bifurcations: the case of the cubic NLS with a $$\delta$$ or a $$\delta^\prime$$ interaction in dimension one. Zbl 1304.35628
2014
Quantum graphs and dimensional crossover: the honeycomb. Zbl 1428.35475
Adami, Riccardo; Dovetta, Simone; Ruighi, Alice
2019
Ground states for NLS on graphs: a subtle interplay of metric and topology. Zbl 1390.35315
2016
Scattering for the $$L^2$$ supercritical point NLS. Zbl 1457.35064
Adami, Riccardo; Fukuizumi, Reika; Holmer, Justin
2021
Asymptotic stability for standing waves of a NLS equation with subcritical concentrated nonlinearity in dimension three: neutral modes. Zbl 1351.35187
Ortoleva, Cecilia; Noja, Diego; Adami, Riccardo
2016
A numerical study of quantum decoherence. Zbl 1373.81005
2012
Blow-up for Schrödinger equation with pointwise nonlinearity. Zbl 1213.35128
2002
Nonlinearity-defect interaction: symmetry breaking bifurcation in a NLS with a $$\delta'$$ impurity. Zbl 1351.35178
2011
Rate of decoherence for an electron weakly coupled to a phonon gas. Zbl 1144.82039
2008
Scattering for the $$L^2$$ supercritical point NLS. Zbl 1457.35064
Adami, Riccardo; Fukuizumi, Reika; Holmer, Justin
2021
Blow-up for the pointwise NLS in dimension two: absence of critical power. Zbl 1436.35051
Adami, Riccardo; Carlone, Raffaele; Correggi, Michele; Tentarelli, Lorenzo
2020
Multiple positive bound states for the subcritical NLS equation on metric graphs. Zbl 1405.35236
Adami, Riccardo; Serra, Enrico; Tilli, Paolo
2019
Dimensional crossover with a continuum of critical exponents for NLS on doubly periodic metric graphs. Zbl 1414.35202
Adami, Riccardo; Dovetta, Simone; Serra, Enrico; Tilli, Paolo
2019
Quantum graphs and dimensional crossover: the honeycomb. Zbl 1428.35475
Adami, Riccardo; Dovetta, Simone; Ruighi, Alice
2019
One-dimensional versions of three-dimensional system: ground states for the NLS on the spatial grid. Zbl 1411.35262
2018
Negative energy ground states for the $$L^{2}$$-critical NLSE on metric graphs. Zbl 1372.35319
Adami, Riccardo; Serra, Enrico; Tilli, Paolo
2017
Nonlinear dynamics on branched structures and networks. Zbl 1391.35381
Adami, Riccardo; Serra, Enrico; Tilli, Paolo
2017
Threshold phenomena and existence results for NLS ground states on metric graphs. Zbl 1338.35448
Adami, Riccardo; Serra, Enrico; Tilli, Paolo
2016
Stable standing waves for a NLS on star graphs as local minimizers of the constrained energy. Zbl 1336.35316
Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego
2016
Ground states for NLS on graphs: a subtle interplay of metric and topology. Zbl 1390.35315
2016
Asymptotic stability for standing waves of a NLS equation with subcritical concentrated nonlinearity in dimension three: neutral modes. Zbl 1351.35187
Ortoleva, Cecilia; Noja, Diego; Adami, Riccardo
2016
NLS ground states on graphs. Zbl 1330.35484
Adami, Riccardo; Serra, Enrico; Tilli, Paolo
2015
Lack of ground state for NLSE on bridge-type graphs. Zbl 1335.35261
Adami, Riccardo; Serra, Enrico; Tilli, Paolo
2015
Variational properties and orbital stability of standing waves for NLS equation on a star graph. Zbl 1300.35129
Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego
2014
Constrained energy minimization and orbital stability for the NLS equation on a star graph. Zbl 1304.81087
Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego
2014
Exactly solvable models and bifurcations: the case of the cubic NLS with a $$\delta$$ or a $$\delta^\prime$$ interaction in dimension one. Zbl 1304.35628
2014
Stability and symmetry-breaking bifurcation for the ground states of a NLS with a $$\delta ^{\prime}$$ interaction. Zbl 1260.35194
2013
Constrained energy minimization and ground states for NLS with point defects. Zbl 1280.35132
Adami, Riccardo; Noja, Diego; Visciglia, Nicola
2013
Orbital and asymptotic stability for standing waves of a nonlinear Schrödinger equation with concentrated nonlinearity in dimension three. Zbl 1322.35122
Adami, Riccardo; Noja, Diego; Ortoleva, Cecilia
2013
On the structure of critical energy levels for the cubic focusing NLS on star graphs. Zbl 1247.81104
Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego
2012
A numerical study of quantum decoherence. Zbl 1373.81005
2012
Fast solitons on star graphs. Zbl 1222.35182
Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego
2011
Nonlinearity-defect interaction: symmetry breaking bifurcation in a NLS with a $$\delta'$$ impurity. Zbl 1351.35178
2011
Existence of dynamics for a 1D NLS equation perturbed with a generalized point defect. Zbl 1184.35290
2009
Rate of decoherence for an electron weakly coupled to a phonon gas. Zbl 1144.82039
2008
Rigorous derivation of the cubic NLS in dimension one. Zbl 1118.81021
Adami, Riccardo; Golse, François; Teta, Alessandro
2007
On the asymptotic dynamics of a quantum system composed by heavy and light particles. Zbl 1130.81031
Adami, Riccardo; Figari, Rodolfo; Finco, Domenico; Teta, Alessandro
2006
The transition from diffusion to blow-up for a nonlinear Schrödinger equation in dimension 1. Zbl 1084.35081
2005
Towards a rigorous derivation of the cubic NLSE in dimension one. Zbl 1069.35082
Adami, Riccardo; Bardos, Claude; Golse, François; Teta, Alessandro
2004
Blow-up solutions for the Schrödinger equation in dimension three with a concentrated nonlinearity. Zbl 1042.35070
Adami, Riccardo; Dell&rsquo;Antonio, Gianfausto; Figari, Rodolfo; Teta, Alessandro
2004
On the asymptotic behaviour of a quantum two-body system in the small mass ratio limit. Zbl 1062.81140
Adami, Riccardo; Figari, Rodolfo; Finco, Domenico
2004
The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity. Zbl 1028.35137
Adami, Riccardo; Dell&rsquo;Antonio, Gianfausto; Figari, Rodolfo; Teta, Alessandro
2003
Blow-up for Schrödinger equation with pointwise nonlinearity. Zbl 1213.35128
2002
A class of nonlinear Schrödinger equations with concentrated nonlinearity. Zbl 0979.35130
2001
A simple model of concentrated nonlinearity. Zbl 0967.81010
1999
On the Aharonov-Bohm Hamiltonian. Zbl 0907.47058
1998
all top 5

### Cited by 256 Authors

 25 Adami, Riccardo 14 Noja, Diego 13 Dovetta, Simone 13 Schlein, Benjamin 13 Tentarelli, Lorenzo 11 Cacciapuoti, Claudio 10 Carlone, Raffaele 10 Finco, Domenico 10 Pavlović, Nataša 10 Teta, Alessandro 9 Angulo Pava, Jaime 9 Holmer, Justin 9 Pelinovsky, Dmitry Efimovich 8 Chen, Thomas M. 7 Goloshchapova, Nataliia 7 Serra, Enrico 7 Tamura, Hideo 6 Chen, Xuwen 6 Erdős, László 6 Kairzhan, Adilbek 6 Tilli, Paolo 5 Hernandez Ardila, Alex 5 Correggi, Michele 5 Figari, Rodolfo 5 Kopylova, Elena A. 5 Staffilani, Gigliola 4 Abatangelo, Laura 4 Benedikter, Niels 4 Boßmann, Lea 4 de Oliveira, César R. 4 Phan Thành Nam 4 Pickl, Peter 4 Rougerie, Nicolas 4 Sacchetti, Andrea 4 Sohinger, Vedran 4 Ugolini, Stefania 4 Yau, Horng-Tzer 3 Albeverio, Sergio A. 3 Alexandrova, Ivana 3 Banica, Valeria 3 Borrelli, William 3 Cavalcante, Márcio André Araújo 3 Cuccagna, Scipio 3 Fukuizumi, Reika 3 Ignat, Liviu I. 3 Le Coz, Stefan 3 Maeda, Masaya 3 Plaza, Ramón G. 3 Rosenzweig, Matthew 3 Secchi, Simone 3 Seiringer, Robert 2 Ammari, Kais 2 Ammari, Zied 2 Berkolaiko, Gregory 2 Besse, Christophe 2 Boni, Filippo 2 Boscain, Ugo 2 Brennecke, Christian 2 Clark, Jeremy Thane 2 De Vecchi, Francesco Carlo 2 Dell’Antonio, Gian Fausto 2 Duboscq, Romain 2 Exner, Pavel 2 Felli, Veronica 2 Fermi, Davide 2 Girardot, Théotime 2 Golse, François 2 Goodman, Roy H. 2 Grecu, Andreea 2 Hainzl, Christian 2 Hernandez Melo, Cesar Adolfo 2 Kennedy, James Bernard 2 Kirkpatrick, Kay L. 2 Komech, Alexander Ilich 2 Liard, Quentin 2 Liu, Chang 2 Mendelson, Dana 2 Michelangeli, Alessandro 2 Nahmod, Andrea R. 2 Napiórkowski, Marcin 2 Nier, Francis 2 Nys, Manon 2 Ohta, Masahito 2 Ortoleva, Cecilia 2 Pankov, Alexander A. 2 Pankrashkin, Konstantin 2 Pierotti, Dario 2 Pistoia, Angela 2 Porta, Marcello 2 Posilicano, Andrea 2 Prandi, Dario 2 Rademacher, Simone 2 Richard, Serge 2 Rolando, Sergio 2 Romano, Renan G. 2 Royer, Julien 2 Schneider, Guido 2 Shibata, Masataka 2 Soave, Nicola 2 Taliaferro, Kenneth ...and 156 more Authors
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### Cited in 80 Serials

 17 Journal of Mathematical Physics 17 Journal of Differential Equations 17 Journal of Functional Analysis 11 Communications in Mathematical Physics 11 Annales Henri Poincaré 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Journal of Mathematical Analysis and Applications 9 Journal of Statistical Physics 6 Archive for Rational Mechanics and Analysis 6 Letters in Mathematical Physics 6 SIAM Journal on Mathematical Analysis 6 Discrete and Continuous Dynamical Systems 5 Reviews in Mathematical Physics 5 Transactions of the American Mathematical Society 5 Physica D 5 Calculus of Variations and Partial Differential Equations 5 Communications on Pure and Applied Analysis 4 Communications on Pure and Applied Mathematics 4 Nonlinearity 4 Advances in Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 NoDEA. Nonlinear Differential Equations and Applications 4 Analysis & PDE 3 Reports on Mathematical Physics 3 Proceedings of the American Mathematical Society 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Symmetry 3 Analysis and Mathematical Physics 2 Journal of Computational Physics 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Inventiones Mathematicae 2 Quarterly of Applied Mathematics 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Journal of Nonlinear Science 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of Nonlinear Mathematical Physics 2 Journal of Evolution Equations 2 Journal of Physics A: Mathematical and Theoretical 2 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Nuclear Physics. B 1 Russian Mathematical Surveys 1 Indiana University Mathematics Journal 1 Nagoya Mathematical Journal 1 Ricerche di Matematica 1 Synthese 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Numerical Algorithms 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Russian Journal of Mathematical Physics 1 Bulletin des Sciences Mathématiques 1 The Journal of Fourier Analysis and Applications 1 Mathematical Physics, Analysis and Geometry 1 Journal of Inequalities and Applications 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Stochastics and Dynamics 1 Milan Journal of Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Quantum Information Processing 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Foundations of Physics 1 Complex Variables and Elliptic Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Communications in Theoretical Physics 1 Kyoto Journal of Mathematics 1 Communications in Applied and Industrial Mathematics 1 Forum of Mathematics, Pi 1 Evolution Equations and Control Theory 1 EMS Surveys in Mathematical Sciences 1 Séminaire Laurent Schwartz. EDP et Applications 1 Minimax Theory and its Applications 1 SMAI Journal of Computational Mathematics 1 Annales Henri Lebesgue
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### Cited in 26 Fields

 216 Partial differential equations (35-XX) 158 Quantum theory (81-XX) 45 Statistical mechanics, structure of matter (82-XX) 32 Operator theory (47-XX) 25 Dynamical systems and ergodic theory (37-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 13 Ordinary differential equations (34-XX) 13 Global analysis, analysis on manifolds (58-XX) 9 Functional analysis (46-XX) 9 Probability theory and stochastic processes (60-XX) 8 Optics, electromagnetic theory (78-XX) 7 Combinatorics (05-XX) 6 Numerical analysis (65-XX) 4 Integral equations (45-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)