Publicaciones (53) Publicaciones de LUCA FANELLI

2024

  1. Quantitative Hardy inequalities for magnetic Hamiltonians

    Communications in Partial Differential Equations

  2. Recent Developments in Spectral Theory for Non-self-adjoint Hamiltonians

    Springer Proceedings in Mathematics and Statistics

  3. Uniform resolvent estimates and absence of eigenvalues of biharmonic operators with complex potentials

    Journal of Functional Analysis, Vol. 287, Núm. 12

2023

  1. Kato–Ponce estimates for fractional sublaplacians in the Heisenberg group

    Bulletin of the London Mathematical Society, Vol. 55, Núm. 2, pp. 611-639

  2. Uniform Resolvent Estimates for Critical Magnetic Schrödinger Operators in 2D

    International Mathematics Research Notices, Vol. 2023, Núm. 20, pp. 17656-17703

2022

  1. Dispersive estimates for 2D-wave equations with critical potentials

    Advances in Mathematics, Vol. 400

  2. Eigenvalue bounds for non-selfadjoint Dirac operators

    Mathematische Annalen, Vol. 383, Núm. 1-2, pp. 621-644

  3. IMPROVED HARDY-RELLICH INEQUALITIES

    Communications on Pure and Applied Analysis, Vol. 21, Núm. 3, pp. 867-889

  4. Localization of eigenvalues for non-self-adjoint Dirac and Klein–Gordon operators

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 214

  5. Mass propagation for electromagnetic Schrödinger evolutions

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 217

2021

  1. Eigenvalue bounds and spectral stability of Lamé operators with complex potentials

    Journal of Differential Equations, Vol. 298, pp. 528-559

  2. Spectral enclosures for the damped elastic wave equation

    Mathematics In Engineering, Vol. 4, Núm. 6

  3. Stability and instability of breathers in the U(1) Sasa-Satsuma and nonlinear Schrödinger models

    Nonlinearity, Vol. 34, Núm. 5, pp. 3429-3484

2020

  1. Absence of Eigenvalues of Dirac and Pauli Hamiltonians via the Method of Multipliers

    Communications in Mathematical Physics, Vol. 379, Núm. 2, pp. 633-691

  2. On the improvement of the Hardy inequality due to singular magnetic fields

    Communications in Partial Differential Equations, Vol. 45, Núm. 9, pp. 1202-1212

  3. Review on the Stability of the Peregrine and Related Breathers

    Frontiers in Physics, Vol. 8

2019

  1. Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators

    Letters in Mathematical Physics, Vol. 109, Núm. 7, pp. 1473-1485

  2. The Akhmediev breather is unstable

    Sao Paulo Journal of Mathematical Sciences, Vol. 13, Núm. 2, pp. 391-401

  3. Uniqueness results for Zakharov-Kuznetsov equation

    Communications in Partial Differential Equations, Vol. 44, Núm. 6, pp. 504-544

  4. Weak dispersive estimates for fractional aharonov-bohm-schrödinger groups

    Dynamics of Partial Differential Equations, Vol. 16, Núm. 1, pp. 95-103