![Foto de Luca](/img/nophoto.png)
Luca
Fanelli
Publicaciones (51) Publicaciones de Luca Fanelli
2024
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Recent Developments in Spectral Theory for Non-self-adjoint Hamiltonians
Springer Proceedings in Mathematics and Statistics
2023
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Kato–Ponce estimates for fractional sublaplacians in the Heisenberg group
Bulletin of the London Mathematical Society, Vol. 55, Núm. 2, pp. 611-639
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Uniform Resolvent Estimates for Critical Magnetic Schrödinger Operators in 2D
International Mathematics Research Notices, Vol. 2023, Núm. 20, pp. 17656-17703
2022
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Dispersive estimates for 2D-wave equations with critical potentials
Advances in Mathematics, Vol. 400
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Eigenvalue bounds for non-selfadjoint Dirac operators
Mathematische Annalen, Vol. 383, Núm. 1-2, pp. 621-644
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IMPROVED HARDY-RELLICH INEQUALITIES
Communications on Pure and Applied Analysis, Vol. 21, Núm. 3, pp. 867-889
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Localization of eigenvalues for non-self-adjoint Dirac and Klein–Gordon operators
Nonlinear Analysis, Theory, Methods and Applications, Vol. 214
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Mass propagation for electromagnetic Schrödinger evolutions
Nonlinear Analysis, Theory, Methods and Applications, Vol. 217
2021
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Eigenvalue bounds and spectral stability of Lamé operators with complex potentials
Journal of Differential Equations, Vol. 298, pp. 528-559
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Spectral enclosures for the damped elastic wave equation
Mathematics In Engineering, Vol. 4, Núm. 6
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Stability and instability of breathers in the U(1) Sasa-Satsuma and nonlinear Schrödinger models
Nonlinearity, Vol. 34, Núm. 5, pp. 3429-3484
2020
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Absence of Eigenvalues of Dirac and Pauli Hamiltonians via the Method of Multipliers
Communications in Mathematical Physics, Vol. 379, Núm. 2, pp. 633-691
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On the improvement of the Hardy inequality due to singular magnetic fields
Communications in Partial Differential Equations, Vol. 45, Núm. 9, pp. 1202-1212
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Review on the Stability of the Peregrine and Related Breathers
Frontiers in Physics, Vol. 8
2019
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Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators
Letters in Mathematical Physics, Vol. 109, Núm. 7, pp. 1473-1485
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The Akhmediev breather is unstable
Sao Paulo Journal of Mathematical Sciences, Vol. 13, Núm. 2, pp. 391-401
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Uniqueness results for Zakharov-Kuznetsov equation
Communications in Partial Differential Equations, Vol. 44, Núm. 6, pp. 504-544
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Weak dispersive estimates for fractional aharonov-bohm-schrödinger groups
Dynamics of Partial Differential Equations, Vol. 16, Núm. 1, pp. 95-103
2018
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Absence of eigenvalues of two-dimensional magnetic Schrödinger operators
Journal of Functional Analysis, Vol. 275, Núm. 9, pp. 2453-2472
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Frequency-dependent time decay of Schrödinger flows
Journal of Spectral Theory, Vol. 8, Núm. 2, pp. 509-521