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## Mantile, Andrea

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 Author ID: mantile.andrea Published as: Mantile, A.; Mantile, Andrea
 Documents Indexed: 23 Publications since 2005
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#### Co-Authors

 5 single-authored 9 Posilicano, Andrea 5 Sini, Mourad 4 Nier, Francis 3 Faraj, Ali 2 Figari, Rodolfo 1 Behrndt, Jussi 1 Blanchard, Philippe 1 Cacciapuoti, Claudio 1 Challa, Durga Prasad 1 Correggi, Michele 1 Dell’Antonio, Gian Fausto 1 Exner, Pavel 1 Hmidi, Toufik 1 Holzmann, Markus 1 Hu, Guanghui
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#### Serials

 4 Journal of Mathematical Physics 3 Asymptotic Analysis 3 Journal of Physics A: Mathematical and Theoretical 2 Journal of Differential Equations 2 Nanosystems. Physics, Chemistry, Mathematics 1 Communications in Mathematical Physics 1 International Journal of Control 1 Inverse Problems 1 Proceedings of the American Mathematical Society 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Mathematical Physics, Analysis and Geometry 1 Multiscale Modeling & Simulation 1 Journal of Spectral Theory
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#### Fields

 18 Partial differential equations (35-XX) 14 Quantum theory (81-XX) 11 Operator theory (47-XX) 3 Fluid mechanics (76-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

15 Publications have been cited 78 times in 50 Documents Cited by Year
Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces. Zbl 1337.35032
Mantile, Andrea; Posilicano, Andrea; Sini, Mourad
2016
Limiting absorption principle, generalized eigenfunctions, and scattering matrix for Laplace operators with boundary conditions on hypersurfaces. Zbl 1402.35194
Mantile, Andrea; Posilicano, Andrea; Sini, Mourad
2018
Ionization for three dimensional time-dependent point interactions. Zbl 1079.81014
Correggi, Michele; Dell’Antonio, Gianfausto; Figari, Rodolfo; Mantile, Andrea
2005
Asymptotic completeness and S-matrix for singular perturbations. Zbl 07107299
Mantile, Andrea; Posilicano, Andrea
2019
Uniqueness in inverse acoustic scattering with unbounded gradient across Lipschitz surfaces. Zbl 1396.81211
Mantile, Andrea; Posilicano, Andrea; Sini, Mourad
2018
Adiabatic evolution of 1D shape resonances: an artificial interface conditions approach. Zbl 1223.35125
Faraj, Ali; Mantile, Andrea; Nier, Francis
2011
Point interaction Hamiltonians in bounded domains. Zbl 1152.81344
Blanchard, Ph.; Figari, R.; Mantile, A.
2007
Direct and inverse acoustic scattering by a collection of extended and point-like scatterers. Zbl 1318.76019
Hu, Guanghui; Mantile, Andrea; Sini, Mourad
2014
An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances. Zbl 1204.81071
Faraj, A.; Mantile, A.; Nier, F.
2010
On the optimization of the principal eigenvalue for single-centre point-interaction operators in a bounded region. Zbl 1135.81014
Exner, Pavel; Mantile, Andrea
2008
Point interaction controls for the energy transfer in 3-D quantum systems. Zbl 1152.93311
Mantile, A.
2008
Limiting absorption principle and scattering matrix for Dirac operators with $$\delta$$-shell interactions. Zbl 1439.81037
Behrndt, Jussi; Holzmann, Markus; Mantile, Andrea; Posilicano, Andrea
2020
Laplacians with singular perturbations supported on hypersurfaces. Zbl 1353.47045
Mantile, A.; Posilicano, A.
2016
Wave operators, similarity and dynamics for a class of Schrödinger operators with generic non-mixed interface conditions in 1D. Zbl 1290.81031
Mantile, Andrea
2013
Time-dependent delta-interactions for 1D Schrödinger Hamiltonians. Zbl 1190.37013
Hmidi, Toufik; Mantile, Andrea; Nier, Francis
2010
Limiting absorption principle and scattering matrix for Dirac operators with $$\delta$$-shell interactions. Zbl 1439.81037
Behrndt, Jussi; Holzmann, Markus; Mantile, Andrea; Posilicano, Andrea
2020
Asymptotic completeness and S-matrix for singular perturbations. Zbl 07107299
Mantile, Andrea; Posilicano, Andrea
2019
Limiting absorption principle, generalized eigenfunctions, and scattering matrix for Laplace operators with boundary conditions on hypersurfaces. Zbl 1402.35194
Mantile, Andrea; Posilicano, Andrea; Sini, Mourad
2018
Uniqueness in inverse acoustic scattering with unbounded gradient across Lipschitz surfaces. Zbl 1396.81211
Mantile, Andrea; Posilicano, Andrea; Sini, Mourad
2018
Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces. Zbl 1337.35032
Mantile, Andrea; Posilicano, Andrea; Sini, Mourad
2016
Laplacians with singular perturbations supported on hypersurfaces. Zbl 1353.47045
Mantile, A.; Posilicano, A.
2016
Direct and inverse acoustic scattering by a collection of extended and point-like scatterers. Zbl 1318.76019
Hu, Guanghui; Mantile, Andrea; Sini, Mourad
2014
Wave operators, similarity and dynamics for a class of Schrödinger operators with generic non-mixed interface conditions in 1D. Zbl 1290.81031
Mantile, Andrea
2013
Adiabatic evolution of 1D shape resonances: an artificial interface conditions approach. Zbl 1223.35125
Faraj, Ali; Mantile, Andrea; Nier, Francis
2011
An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances. Zbl 1204.81071
Faraj, A.; Mantile, A.; Nier, F.
2010
Time-dependent delta-interactions for 1D Schrödinger Hamiltonians. Zbl 1190.37013
Hmidi, Toufik; Mantile, Andrea; Nier, Francis
2010
On the optimization of the principal eigenvalue for single-centre point-interaction operators in a bounded region. Zbl 1135.81014
Exner, Pavel; Mantile, Andrea
2008
Point interaction controls for the energy transfer in 3-D quantum systems. Zbl 1152.93311
Mantile, A.
2008
Point interaction Hamiltonians in bounded domains. Zbl 1152.81344
Blanchard, Ph.; Figari, R.; Mantile, A.
2007
Ionization for three dimensional time-dependent point interactions. Zbl 1079.81014
Correggi, Michele; Dell’Antonio, Gianfausto; Figari, Rodolfo; Mantile, Andrea
2005
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#### Cited by 68 Authors

 13 Mantile, Andrea 12 Posilicano, Andrea 8 Behrndt, Jussi 7 Lotoreichik, Vladimir 6 Sini, Mourad 4 Cacciapuoti, Claudio 4 Exner, Pavel 4 Fermi, Davide 3 Rohleder, Jonathan 2 Carlone, Raffaele 2 Holzmann, Markus 2 Jex, Michal 2 Neidhardt, Hagen 1 Aharonov, Yakir 1 Ammari, Habib M. 1 Barseghyan, Diana 1 Ben Abdallah, Naoufel 1 Bouzekri, Ali 1 Caro, Pedro 1 Challa, Durga Prasad 1 Choudhury, Anupam Pal 1 Colombo, Fabrizio 1 Correggi, Michele 1 Costin, Ovidiu 1 Dauge, Monique 1 Dittrich, Jaroslav 1 Dousti, M. J. 1 Egger, Sebastian 1 Faraj, Ali 1 Figari, Rodolfo 1 Finco, Domenico 1 Garcia, Andoni 1 Gesztesy, Fritz 1 Goudarzi, Hamid Reza 1 Griesemer, Marcel 1 Hislop, Peter D. 1 Hmidi, Toufik 1 Holzmann, Markus 1 Hu, Guanghui 1 Kerner, Joachim 1 Kirsch, Werner 1 Krishna, Maddaly 1 Lai, Jun 1 Langer, Matthias 1 Lebowitz, Joel Louis 1 Li, Ming 1 Li, Peijun 1 Li, Wei 1 Malamud, Mark M. 1 Mas, Albert 1 Michelangeli, Alessandro 1 Nakamura, Shu 1 Negulescu, Claudia 1 Nier, Francis 1 Noja, Diego 1 Pedram, Massoud 1 Pizzichillo, Fabio 1 Pizzocchero, Livio 1 Schlosser, Peter 1 Shafaei, Alireza 1 Stucchio, Chris 1 Tentarelli, Lorenzo 1 Teta, Alessandro 1 Unger, Gerhard 1 Vuillermot, Pierre-A. 1 Wreszinski, Walter F. 1 Zagrebnov, Valentin A. 1 Zenk, Heribert
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#### Cited in 24 Serials

 8 Journal of Mathematical Physics 5 Journal of Functional Analysis 4 Journal of Mathematical Analysis and Applications 4 Reviews in Mathematical Physics 4 Multiscale Modeling & Simulation 3 Journal of Differential Equations 2 Communications in Mathematical Physics 2 Inverse Problems 2 Mathematical Physics, Analysis and Geometry 1 Applicable Analysis 1 International Journal of Control 1 Letters in Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Asymptotic Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Quantum Information Processing 1 Inverse Problems and Imaging 1 Operators and Matrices 1 Symmetry 1 Journal of Spectral Theory
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#### Cited in 20 Fields

 36 Partial differential equations (35-XX) 33 Quantum theory (81-XX) 24 Operator theory (47-XX) 5 Integral equations (45-XX) 4 Numerical analysis (65-XX) 3 Ordinary differential equations (34-XX) 3 Optics, electromagnetic theory (78-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)