Luca
Fanelli
Universidad del País Vasco/Euskal Herriko Unibertsitatea
Lejona, EspañaUniversidad del País Vasco/Euskal Herriko Unibertsitatea-ko ikertzaileekin lankidetzan egindako argitalpenak (27)
2024
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Uniform resolvent estimates and absence of eigenvalues of biharmonic operators with complex potentials
Journal of Functional Analysis, Vol. 287, Núm. 12
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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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
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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Spectral stability of Schrödinger operators with subordinated complex potentials
Journal of Spectral Theory, Vol. 8, Núm. 2, pp. 575-604
2015
2014
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Relativistic Hardy Inequalities in Magnetic Fields
Journal of Statistical Physics, Vol. 154, Núm. 3, pp. 866-876
2013
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A priori estimates for the Helmholtz equation with electromagnetic potentials in exterior domains
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 143 A, Núm. 1, pp. 1-19
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On the lack of dispersion for a class of magnetic Dirac flows
Journal of Evolution Equations, Vol. 13, Núm. 1, pp. 89-106
2012
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Carleman estimates and necessary conditions for the existence of waveguides
Indiana University Mathematics Journal, Vol. 61, Núm. 1, pp. 15-30
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Existence of maximizers for Sobolev-Strichartz inequalities
Advances in Mathematics, Vol. 229, Núm. 3, pp. 1912-1923