Luca Fanelli

Ikerbasque Research Professor, UPV/EHU

Research line:

Dispersive PDE in Quantum Mechanics, Spectral Theory, Harmonic Analysis.

“Rendiconti” Prize 2008, Teaching Prize 2016, 2018, 2020 (Rome SAPIENZA), Finalist at ERC Starting Grant Call 2014, Robert Bartnik Fellowship 2019 (Monash Univ., Melbourne, AUS).

Previously: Associate Professor at SAPIENZA Università di Roma, Ramón y Cajal Fellow at UPV/EHU.

Ph.D. in Mathematics (2008) from SAPIENZA Università di Roma.

2023

Article / Kato–Ponce estimates for fractional sublaplacians in the Heisenberg group

Bulletin of the London Mathematical Society

Fanelli, L.; Roncal, L.

Article / Uniform Resolvent Estimates for Critical Magnetic Schrödinger Operators in 2D

International Mathematics Research Notices

Fanelli, L.; Zhang, J.; Zheng, J.

2022

Article / Eigenvalue bounds for non-selfadjoint Dirac operators

Mathematische Annalen

D’Ancona, P.; Fanelli, L.; Schiavone, N.M.

Article / Dispersive estimates for 2D-wave equations with critical potentials

Advances in Mathematics

Fanelli, L.; Zhang, J.; Zheng, J.

Article / Mass propagation for electromagnetic Schrödinger evolutions

Nonlinear Analysis, Theory, Methods and Applications

Barceló, J.A.; Cassano, B.; Fanelli, L.

Article / IMPROVED HARDY-RELLICH INEQUALITIES

Communications on Pure and Applied Analysis

Cassano, B.; Cossetti, L.; Fanelli, L.

Article / Spectral enclosures for the damped elastic wave equation

Mathematics In Engineering

Cassano, B.; Cossetti, L.; Fanelli, L.

Article / Localization of eigenvalues for non-self-adjoint Dirac and Klein–Gordon operators

Nonlinear Analysis, Theory, Methods and Applications

D'Ancona, P.; Fanelli, L.; Krejčiřík, D.; Schiavone, N.M.

2021

Article / Eigenvalue bounds and spectral stability of Lamé operators with complex potentials

Journal of Differential Equations

Cassano, B.; Cossetti, L.; Fanelli, L.

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

Nonlinearity

Alejo, M.A.; Fanelli, L.; Muneoz, C.

2020

Article / Review on the stability of the Peregrine and related Breathers

Frontiers in Physics

M. Alejo, L. Fanelli, C. Muñoz

Article / On the improvement of the Hardy inequality due to singular magnetic fields

Communications in Partial Differential Equations

Fanelli, L.; Krejčiřík, D.; Laptev, A.; Vega, L.

Article / Absence of Eigenvalues of Dirac and Pauli Hamiltonians via the Method of Multipliers

Communications in Mathematical Physics

Cossetti, L.; Fanelli, L.; Krejčiřík, D.

2019

Article / The Akhmediev breather is unstable

Sao Paulo Journal of Mathematical Sciences

Alejo, M.A.; Fanelli, L.; Muñoz, C.

Article / Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators

Letters in Mathematical Physics

Fanelli, L.; Krejčiřík, D.

Article / Uniqueness results for Zakharov-Kuznetsov equation

Communications in Partial Differential Equations

Cossetti, L.; Fanelli, L.; Linares, F.

Article / Weak dispersive estimates for fractional aharonov-bohm-schrödinger groups

Dynamics of Partial Differential Equations

Cacciafesta, F.; Fanelli, L.

2018

Article / Absence of eigenvalues of two-dimensional magnetic Schrödinger operators

Journal of Functional Analysis

Fanelli, L.; Krejčiřík, D.; Vega, L.

Article / Spectral stability of Schrödinger operators with subordinated complex potentials

Journal of Spectral Theory

Fanelli, L.; Krejčiřík, D.; Vega, L.

Article / Frequency-dependent time decay of Schrödinger flows

Journal of Spectral Theory

Fanelli, L.; Felli, V.; Fontelos, M.A.; Primo, A.

2017

Article / Gaussian decay of harmonic oscillators and related models

Journal of Mathematical Analysis and Applications

Cassano, B.; Fanelli, L.

Article / Dispersive estimates for the Dirac equation in an Aharonov–Bohm field

Journal of Differential Equations

Cacciafesta, F.; Fanelli, L.

Review / Spherical schrödinger hamiltonians: Spectral analysis and time decay

Springer INdAM Series

Fanelli, L.

2015

Article / Resolvent and Strichartz estimates for elastic wave equations

Applied Mathematics Letters

Barceló, J.A.; Fanelli, L.; Ruiz, A.; Vilela, M.C.; Visciglia, N.

Article / Time Decay of Scaling Invariant Electromagnetic Schrödinger Equations on the Plane

Communications in Mathematical Physics

Fanelli, L.; Felli, V.; Fontelos, M.A.; Primo, A.

Article / Sharp hardy uncertainty principle and gaussian profiles of covariant schrödinger evolutions

Transactions of the American Mathematical Society

Cassano, B.; Fanelli, L.

Article / Improved time-decay for a class of scaling critical electromagnetic Schrödinger flows

Journal of Functional Analysis

Fanelli, L.; Grillo, G.; Kovařík, H.

2014

Article / Relativistic Hardy Inequalities in Magnetic Fields

Journal of Statistical Physics

Fanelli, L.; Vega, L.; Visciglia, N.

2013

Article / Time Decay of Scaling Critical Electromagnetic Schrödinger Flows

Communications in Mathematical Physics

Fanelli, L.; Felli, V.; Fontelos, M.A.; Primo, A.

Article / Hardy uncertainty principle and unique continuation properties of covariant Schrödinger flows

Journal of Functional Analysis

Barceló, J.A.; Fanelli, L.; Gutiérrez, S.; Ruiz, A.; Vilela, M.C.

Article / The lack of compactness in the Sobolev-Strichartz inequalities

Journal des Mathematiques Pures et Appliquees

Fanelli, L.; Visciglia, N.

Article / A priori estimates for the Helmholtz equation with electromagnetic potentials in exterior domains

Proceedings of the Royal Society of Edinburgh Section A: Mathematics

Barceĺo, J.A.; Fanelli, L.; Ruiz, A.; Vilela, M.

Article / On the lack of dispersion for a class of magnetic Dirac flows

Journal of Evolution Equations

Arrizabalaga, N.; Fanelli, L.; García, A.

2012

Article / Carleman estimates and necessary conditions for the existence of waveguides

Indiana University Mathematics Journal

Escauriaza, L.; Fanelli, L.; Vega, L.

Article / Existence of maximizers for Sobolev-Strichartz inequalities

Advances in Mathematics

Fanelli, L.; Vega, L.; Visciglia, N.

2011

Article / Semilinear hamiltonian schrödinger systems

International Journal of Dynamical Systems and Differential Equations

Fanelli, L.; Lucente, S.; Montefusco, E.

Article / Counterexamples to strichartz estimates for the magnetic Schrödinger equation

Communications in Contemporary Mathematics

Fanelli, L.; Garcia, A.

Article / Virial identity and weak dispersion for the magnetic Dirac equation

Journal des Mathematiques Pures et Appliquees

Boussaid, N.; D'Ancona, P.; Fanelli, L.

Article / On the existence of maximizers for a family of restriction theorems

Bulletin of the London Mathematical Society

Fanelli, L.; Vega, L.; Visciglia, N.

2010

Article / Endpoint Strichartz estimates for the magnetic Schrödinger equation

Journal of Functional Analysis

D'Ancona, P.; Fanelli, L.; Vega, L.; Visciglia, N.

2009

Article / Non-trapping magnetic fields and Morrey-Campanato estimates for Schrödinger operators

Journal of Mathematical Analysis and Applications

Fanelli, L.

Article / Semilinear Schrödinger equation with time dependent coefficients

Mathematische Nachrichten

Fanelli, L.

Article / Smoothing estimates for the Schrödinger equation with unbounded potentials

Journal of Differential Equations

D'Ancona, P.; Fanelli, L.

Article / Magnetic virial identities, weak dispersion and Strichartz inequalities

Mathematische Annalen

Fanelli, L.; Vega, L.

2008

Article / Strichartz and smoothing estimates for dispersive equations with magnetic potentials

Communications in Partial Differential Equations

D'Ancoa, P.; Fanelli, L.

2007

Article / On the blow-up threshold for weakly coupled nonlinear Schrödinger equations

Journal of Physics A: Mathematical and Theoretical

Fanelli, L.; Montefusco, E.

Article / Decay estimates for the wave and dirac equations with a magnetic potential

Communications on Pure and Applied Mathematics

D'Ancona, P.; Fanelli, L.

2006

Article / Lp -boundedness of the wave operator for the one dimensional Schrödinger operator

Communications in Mathematical Physics

D'Ancona, P.; Fanelli, L.

2004

Article / The critical case for a semilinear weakly hyperbolic equation

Electronic Journal of Differential Equations

Fanelli, L.; Lucente, S.

2020

EIT and Cloaking: an Introduction to Inverse Problems

Rome Sapienza University

Uniquenes and Stability for the Calderón Inverse Problem

Rome Sapienza University

Restriction Theorems for the Fourier Transform

Rome Sapienza University

Entropies, Functional Inequalities, and Diffusion Equations

Rome Sapienza University

About NLS with Inverse Square Potential

Rome Sapienza University

2019

The Discrete Fourier transform and the Elaboration of Images

Rome Sapienza University

2018

The Malgrange-Ehrenpreis Theorem & Applications

Rome Sapienza University

The Calderón-Zygmund Theorem & Applications

Rome Sapienza University

An Introduction to Wavelets

Rome Sapienza University

2017

Strichartz estimates for NLS

Rome Sapienza University

2015

About the Convergence of Fourier series

Rome Sapienza University

Shallow Water Waves

Rome Sapienza University

2014

Hardy-Dirac Inequalities

Rome Sapienza University

Introduction to Nonlinear Schrödinger Equations

Rome Sapienza University

2012

Hardy Inequalities for Dirac Operators

Università degli Studi di Bari

2020

Real Analysis - Rome Sapienza University - Mathematics Degree 72 hours

Uncertainty Principles, Resolvent Estimates & Applications - Monash University Melbourne - Ph.D. 8 hours

2019

Real Analysis - Rome Sapienza University - Mathematics Degree 81 hours

Partial Differential Equations - Rome Sapienza University - Master Mathematics 48 hours

Uniform Resolvent Estimates & Applications - Tokyo Waseda - Summer School 8 hours

Uncertainty Principles - Bhopal (India) - Winter School 6 hours

2018

Analysis - Rome Sapienza University - Physics Degree 90 hours

2017

Uncertainty Principles & Spectral Theory - Bilbao - BCAM Summer School 6 hours

Differential Calculus - Rome SAPIENZA University - Degree in Informatics 60 hours

2016

Analysis - Rome Sapienza University - Physics Degree 90 hours

Calculus 2 - Universidad Autónoma de Madrid - Degree in Mathematics 48 hours

Differential Calculus - Rome SAPIENZA University - Degree in Informatics 60 hours

2015

Analysis - Rome Sapienza University - Physics Degree 90 hours

Calculus 2 - Universidad Autónoma de Madrid - Degree in Mathematics 48 hours

Differential Calculus - Rome SAPIENZA University - Degree in Informatics 60 hours

2014

Real Analysis - Rome Sapienza University - Mathematics Degree 72 hours

2013

Real Analysis - Rome Sapienza University - Mathematics Degree 72 hours

2012

Analysis - Rome Sapienza University - Physics Degree 90 hours

2011

Introduction to Dispersive PDE's - Università di Bari - Master, Ph.D. 10 hours

2010

Spanish Lectures on NLS - Universidad Autónoma de Madrid - Ph.D. 10 hours

2023

Member pf the Ph.D. Council of Mathematics at UPV/EHU

2022

Member of the Executive Committee of SEMA (Sociedad Española de Matemática Aplicada)

2020

Member of the Monitoring Committee of the Mathematical, Physical and Natural Sciences Faculty of Rome SAPIENZA University

Member of the Mathematics Ph.D. Council of the Math. Department of Rome SAPIENZA University

Member of the OFA Committee of the Mathematical, Physical and Natural Sciences Faculty of Rome SAPIENZA University

Associate Editor of Nonlinear Analysis: Theory, Methods & Applications

Principal Investigator of the project "New challenges in PDE’s: Fourier Analysis, Spectral Theory, and Calculus of Variations" (12 months, 15.000 € funded by Rome 1)

Member of the Panel of Experts for the "Ramón y Cajal" & "Juan de la Cierva" calls 2019 (MINECO, Spain)

Reviewer for the Research Evaluation at the Charles University (Prague, CZK)

2019

Member of the Monitoring Committee of the Mathematical, Physical and Natural Sciences Faculty of Rome SAPIENZA University

Member of the Mathematics Ph.D. Council of the Math. Department of Rome SAPIENZA University

Member of the OFA Committee of the Mathematical, Physical and Natural Sciences Faculty of Rome SAPIENZA University

Associate Editor of Nonlinear Analysis: Theory, Methods & Applications

Reviewer for the Comisión Nacional de Investigación Científica y Tecnológica (CONICYT) - Chile

2018

Member of the Monitoring Committee of the Mathematical, Physical and Natural Sciences Faculty of Rome SAPIENZA University

Member of the Mathematics Ph.D. Council of the Math. Department of Rome SAPIENZA University

Member of the OFA Committee of the Mathematical, Physical and Natural Sciences Faculty of Rome SAPIENZA University

Associate Editor of Nonlinear Analysis: Theory, Methods & Applications

2017

Member of the Monitoring Committee of the Mathematical, Physical and Natural Sciences Faculty of Rome SAPIENZA University

Member of the Mathematics Ph.D. Council of the Math. Department of Rome SAPIENZA University

Member of the OFA Committee of the Mathematical, Physical and Natural Sciences Faculty of Rome SAPIENZA University

Associate Editor of Nonlinear Analysis: Theory, Methods & Applications

2016

Associate Editor of Nonlinear Analysis: Theory, Methods & Applications

Reviewer for ANVUR-National Agency for the Evaluation of Universities and Research Institutes. Ministry of Education. Rome, Italy

2014

Member of the Ph.D. Defense Tribunal of Biagio Cassano (Rome Sapienza University)

Principal Investigator of the project "Dispersive Equations and Conservation Laws: Spectral Theory and Calculus of Variations" (18 months, 12000 €, funded by Rome 1)

2013

Member of the Ph.D. Defense Tribunal of Victor José Garcia Garrido (ICMAT Madrid)

Principal Investigator of the project "Asymptotics of Evolution Problems" (12 months, 12.000 € funded by Rome 1)

2012

Member of the Ph.D. Defense Tribunal of Miren Zubeldia Plazaola (Universidad del País Vasco)

Local Principal Investigator of the project FIRB 2012: “Dispersive Dynamics: Fourier Analysis & Variational Methods” (36 months, € 331.448, funded by MIUR)

2011

Member of the Ph.D. Defense Tribunal of Pedro Perez-Caro (Universidad Autónoma de Madrid)

2020

Teaching Prize - Mathematical, Physical and Natural Sciences Faculty - Università di Roma "La Sapienza"

2018

Teaching Prize - Mathematical, Physical and Natural Sciences Faculty - Università di Roma "La Sapienza"

2016

Teaching Prize - Mathematical, Physical and Natural Sciences Faculty - Università di Roma "La Sapienza"

2014

Finalist for ERC Starting Grant Call

2008

"Rendiconti" Prize from the journal "Rendiconti di Matematica e delle sue Applicazioni"

2024

Conference organization | Summer School on Spectral Theory, Fourier Analysis and PDE

Summer School on Spectral Theory, Fourier Analysis and PDE - Conference organization

Lucrezia Cossetti, Luca Fanelli, Renato Luca', Nico Michele Schiavone

Invited talk | Nonlinear Waves and Hamiltonian PDE’s

Nonlinear Waves and Hamiltonian PDE’s - Invited talk

Luca Fanelli, Vladimir Georgiev, Sandra Lucente

2023

Conference organization | Harmonic Analysis and Differential Equations: new challenges - Bilbao (SPA)

Arrizabalaga, N.; Banica, V.; De La Hoz, F.; Fanelli, L.; Fernandez, A.; Garcia, A.; Gutierrez, S.

Conference organization | 1st Colombian Workshop on Dispersive PDE

1st Colombian Workshop on Dispersive PDE - Conference organization

Jaime Angulo, Felipe Linares, Ademir Pazoto, Eduardo Cerpa, Raul Quintero, Luca Fanelli, Svetlana Roudenko

Invited talk | Direct methods for the Heisenberg Sublaplacian

Nonlinear Waves and Hamiltonian PDE’s - Invited talk

L. Fanelli, L. Roncal, N. Schiavone

Invited talk | Atlantic Conference on PDE

Atlantica Conference on PDE - Invited talk

Luca Fanelli

2022

Invited talk | About Schrödinger and Dirac Operators with Scaling Critical Potentials

Oberwolfach Mini-Workshop - Invited talk

Luca Fanelli

Invited talk | About Schrödinger and Dirac Operators with scaling critical potentials

Banff Workshop "New trends in Mathematics of Dispersive, Integrable and Nonintegrable Models in Fluids, Waves and Quantum Physics" (Canada) - Invited talk

Luca Fanelli

Invited talk | About the spectrum of the Heisenberg Sublaplacian

"5th Workshop on Nonlinear Dispersive Equations", Belo Horizonte (Brasil) - Invited talk

Luca Fanelli

2020

Conference paper | Hankel Transforms and Weak Dispersion

Cacciafesta, F.; Fanelli, L.

Invited talk | Harmonic Analysis and Dispersive PDEs: problems & progress - Melbourne (AUS)

Fanelli, L.

2019

Conference organization | 10th Itinerant Workshop in PDE's - Rome (ITA)

Dos Santos, D.; Fanelli, L.; Thomas, L.; Vega, L.

Conference organization | Nonlinear Dispersive Waves: Solitons and related topics - Mittag-Leffler (SWE)

D'Ancona, P.; Fanelli, L.

Invited talk | Mathematical and Theoretical Physics Special Week in Waseda University - Tokyo (JAP)

Fanelli, L.

Invited talk | Nonlinear Dispersive Waves - Erice (ITA)

Fanelli, L.

2018

Conference organization | 9th Itinerant Workshop in PDE's - Bordeaux (FRA)

Fanelli, L; Lannes, D; Rousset, F.; Vega, L.; Visciglia, N.

Conference organization | ERC workshop on Nonlinear Dispersive PDE's - Rome (ITA)

Fanelli, L; Merle, F.; Planchon, F.; Raphael, P.

Invited talk | PDEs in Bari (ITA)

Fanelli, L.

Invited talk | Nonlinear Dispersive Equations (Satellite of ICM 2018) - Florianopolis (BRA)

Fanelli, L.

Invited talk | INdAM Workshop on Dispersive Equations - Cortona (ITA)

Fanelli, L.

2017

Conference organization | 8th Itinerant Workshop in PDE's - Bilbao (SPA)

Fanelli, L; Lannes, D; F.; Vega, L.; Visciglia, N.

Conference organization | Summer School: Harmonic Analysis, Spectral Theory & PDE's - Rome (ITA)

D'Ancona, L; Fanelli, L.

Invited talk | Mathematical aspects of the Physics with non self-adjoint operators - CIRM Luminy (FRA)

Fanelli, L.

Invited talk | Third BCAM Summer School on Harmonic Analysis and PDEs - Bilbao (SPA)

Fanelli, L.

Invited talk | 42th Sapporo Symposium on Partial Differential Equations - Sapporo (JAP)

Fanelli, L.

Invited talk | III-Workshop on Nonlinear Dispersive Equations - Campinas (BRA)

Fanelli, L.

2016

Conference organization | 7th Itinerant Workshop in PDE's - Nice (FRA)

Fanelli, L; Lannes, D; Planchon, F.; Vega, L.; Visciglia, N.

Invited talk | Contemporary trends in the Mathematics of Quantum Mechanics - Rome (ITA)

Fanelli, L.

Invited talk | Congreso Latinoamericano de Matematicos: special session speaker (nonlinear dispersive equations) - Barranquilla (COL)

Fanelli, L.

Invited talk | New trends in Partial Differential Equations - Pisa (ITA)

Fanelli, L.

2015

Conference organization | 6th Itinerant Workshop in PDE's - Trieste (ITA)

Berti, M.; Fanelli, L.; Lannes, D.; Vega, L.; Visciglia, N.

Invited talk | Equadiff 2015: special session speaker (nonlinear waves) - Lyon (FRA)

Fanelli, L.

Invited talk | YFAW 2015: Young Functional Analysis Workshop - IC London (UK)

Fanelli, L.

Invited talk | Congress Espalia 2015 - Rome (ITA)

Fanelli, L.

Invited talk | II-Workshop on Nonlinear Dispersive Equations - Campinas (BRA)

Fanelli, L.

2014

Conference organization | 5th Itinerant Workshop in PDE's - Pisa (ITA)

Fanelli, L.; Lannes, D.; Vega, L.; Visciglia, N.

Conference organization | Relativistic and Nonrelativistic Models in Quantum mechanics - Rome (ITA)

Esteban, M.J.; Fanelli, L.; Vega, L.

Conference organization | Summer School: KAM Theory and Dispersive PDE's - Rome (ITA)

Fanelli, L; Procesi, M.

Invited talk | Three days on analysis and PDEs - Madrid (SPA)

Fanelli, L.

Invited talk | Joint meeting UMI-RSME-SCM-SEMA-SIMAI 2014: special session speaker (Dispersive PDE's) - Bilbao (SPA)

Fanelli, L.

Invited talk | Asymptotic Analysis of Dispersive Partial Differential Equations - Pienza (ITA)

Fanelli, L.

2013

Conference organization | 4th Itinerant Workshop in PDE - Rome (ITA)

Fanelli, L.; Lannes, D.; Vega, L.

Conference organization | Dispersive PDE - Pisa (ITA)

Adami, R.; Fanelli, L; Visciglia, N.

Invited talk | Linear and Nonlinear PDE's - Pisa (ITA)

Fanelli, L.

Invited talk | Mathematical Congress of the Americas 2013: special session speaker (Nonlinear Dispersive PDE's), Guanajuato, Mexico, August 2013

Fanelli, L.

2012

Conference organization | 3rd Itinerant Workshop in PDE - Bilbao (SPA)

Fanelli, L.; Lannes, D.; Vega, L.

Invited talk | Segundo encuentro conjunto RSME-SMM (Real Sociedad Matematica Espanola – Sociedad Matematica Mexicana): special session speaker (Partial Differential Equations) - Malaga (SPA)

Fanelli, L.

Invited talk | Convegno inaugurale del Laboratorio Fibonacci - Pisa (ITA)

Fanelli, L.

Invited talk | Analytical and Numerical Advances around Schrödinger Equations - Toulouse (FRA)

Fanelli, L.

Invited talk | ERC Workshop in Rome (ITA)

Fanelli, L.

2011

Conference organization | 2nd Itinerant Workshop in PDE - Bayonne (FRA)

Fanelli, L.; Lannes, D.; Vega, L.

Invited talk | Centenial of the RSME (Real Sociedad Matematica Espanola) foundation: special session speaker (Linear and Nonlinear Dispersive Equations) - Ávila (SPA)

Fanelli, L.

Invited talk | Young Researchers of the RSME (Real Sociedad Matematica Espanola): special session speaker (Mathematical Analysis) - Soria (SPA)

Fanelli, L.

2010

Conference organization | 1st Itinerant Workshop on PDE - Bayonne (FRA)

Fanelli, L.; Lannes, D.; Vega, L.

Conference paper | Electromagnetic Schrödinger flow: multiplier methods for dispersion

L. Fanelli

Invited talk | 37th Journées de EDP - Port D'Albret (FRA)

Fanelli, L.

2009

Invited talk | Three dispersive days in Milan (ITA)

Fanelli, L.

2008

Invited talk | Equations dispersives sur les varietees - Orleans (FRA)

Fanelli, L.

Invited talk | Jornadas de Ecuaciones a las Derivadas Parciales - Granada (SPA)

Fanelli, L.

2007

Invited talk | INdAM International Workshop MAQSA: Multiscale Analysis for Quantum Systems and Applications - Rome (ITA)

Fanelli, L.