Luigi DE PASCALE

Ruolo attuale:: Professore Ordinario
SSD:: MATH-03/A - Analisi matematica
Afferenza organizzativa:: Dipartimento di Matematica e Informatica 'Ulisse Dini'

Recapiti

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Luigi DE PASCALE

Orario di ricevimento (aggiornato al 09/07/2020)

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E' possibile , invece, programmare un ricevimento telematico tramite la Gsuite di Ateneo.

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Luigi DE PASCALE

Curriculum

Luigi De Pascale, Nato a Salerno (SA), il 17 gennaio 1973.

Residente a Pistoia.

Parla Inglese e francese.
1991 Diploma di maturita` classica presso il Liceo Classico “B.Telesio” di Cosenza (55/60).

1996 Laurea in Matematica presso l’Università degli studi di Pisa il 13/6/1996, con la votazione di 110/110 e lode. Titolo della tesi: “Spazi di Sobolev su spazi metrici” (relatore prof. Giuseppe Buttazzo).

2001 Dottorato in matematica, Università di Pisa.

2001 Dottorato in matematica, Université de Toulon (Toulon, Francia).

2001 (Aprile-Agosto) Post-doctoral associate al Centre de Mathématiques Appliquées de l’école Polytechnique de Palaiseau (Parigi).

2001 (Febbraio-Marzo) Borsa Senior dell’I.N.D.A.M.

2001-2011 Ricercatore presso il dipartimento di matematica applicata “U.Dini” dell’ Università di Pisa.

2005 (Agosto-Dicembre) Post-doctoral associate presso il Mathematical Sciences Research Institute di Berkeley (MSRI).

2007 (21 Luglio- 12 Agosto) Post-doctoral associate presso il Mathematical Sciences Research Institute di Berkeley (MSRI).

2011-Nov. 2016 Professore associato presso il dipartimento di matematica applicata “U.Dini” dell’ Università di Pisa e poi al dipartimento di matematica della stessa università.

Da Nov. 2016 Professore associato presso il Dipartimento di Matematica ed Informatica “U.Dini” dell’ Università di Firenze.

Visite Scientifiche lunghe: Carnegie Mellon University,Ecole Normale Supérieure de Lyon, Max Planck Institute for Mathematics in the Sciences di Leipzig, Université de Toulon (FRANCE), Université Paris Dauphine, Parigi (FRANCIA), Université Paris-sud Orsay, Paris (FRANCE).

Autore di circa 40 pubblicazioni su rivista. Ha tenuto numerosi interventi a convegni specialistici, organizzato conferenze e coordinato gruppi di ricerca finanziati.

Luigi DE PASCALE

Interessi

Calcolo delle Variazioni

Trasporto ottimo

Teoria matematica dei funzionali di densità (Density Functional Theory)

Luigi DE PASCALE

Pubblicazioni

Legenda

Contributo su rivista |

Articolo su libro |

Libro |

Contributo in atti di convegno (proceeding) |

Brevetto |

Curatela | Altro

Altro |

Tesi di Dottorato

Brizzi C.; Carlier G.; De Pascale L. (2024). Entropic Approximation of ∞-Optimal Transport Problems. APPLIED MATHEMATICS AND OPTIMIZATION, vol. 90, pp. 0-0, ISSN:0095-4616 DOI Accesso ONLINE all'editore

De Pascale L.; Kausamo A. (2024). Sufficiency of c-cyclical monotonicity in a class of multi-marginal optimal transport problems. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, pp. 1-14, ISSN:0956-7925 DOI Accesso ONLINE all'editore

Brizzi C.; De Pascale L. (2023). A PROPERTY OF ABSOLUTE MINIMIZERS IN L∞ CALCULUS OF VARIATIONS AND OF SOLUTIONS OF THE ARONSSON-EULER EQUATION. ADVANCES IN DIFFERENTIAL EQUATIONS, vol. 28, pp. 287-310, ISSN:1079-9389 DOI Accesso ONLINE all'editore

Brizzi C.; De Pascale L.; Kausamo A. (2023). L∞-optimal transport for a class of strictly quasiconvex cost functions. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 527, pp. 1-18, ISSN:0022-247X DOI Accesso ONLINE all'editore

A. Kausamo; L. De Pascale; K. Wyczesany (2023). 60 years of cyclic monotonicity: a survey. pp. 1-30 Accesso ONLINE all'editore

Bindini, Ugo; De Pascale, Luigi; Kausamo, Anna (2021). On deterministic solutions for multi-marginal optimal transport with Coulomb cost. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, vol. 0, pp. 1-20, ISSN:1534-0392 DOI Accesso ONLINE all'editore

Bouchitté G; Buttazzo G; CHampion T; De Pascale L (2021). Dissociating limit in Density Functional Theory with Coulomb optimal transport cost. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE, pp. 1429-1471, ISSN:0391-173X DOI Accesso ONLINE all'editore

Ugo Bindini; Luigi De Pascale; Anna Kausamo (2020). On Seidl-type maps for multi-marginal optimal transport with Coulomb cost. pp. 1-25 Accesso ONLINE all'editore

Bouchitté G; Buttazzo G; Champion T; De Pascale L (2020). Relaxed multi-marginal costs and quantization effects. ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE, pp. 1-33, ISSN:0294-1449 DOI Accesso ONLINE all'editore

DE PASCALE, Luigi; Louet, J. (2019). A study of the dual problem of the one-dimensional L-infinity optimal transport problem with applications. JOURNAL OF FUNCTIONAL ANALYSIS, vol. 276, pp. 3304-3324, ISSN:0022-1236 DOI Accesso ONLINE all'editore

De Pascale L. (2019). On c -cyclical monotonicity for optimal transport problem with Coulomb cost. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, pp. 1-10, ISSN:0956-7925 DOI Accesso ONLINE all'editore

Ugo Bindini; Luigi De Pascale (2019). From wave-functions to single electron densities. pp. 1-11 Accesso ONLINE all'editore

Colombo, M.; De Pascale, L.; Di Marino, S. (2018). Multimarginal Optimal Transport Maps for 1-Dimensional Repulsive Costs. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, vol. 67 (2), pp. 350-368, ISSN:0008-414X DOI Accesso ONLINE all'editore

Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi (2018). Continuity and Estimates for Multimarginal Optimal Transportation Problems with Singular Costs. APPLIED MATHEMATICS AND OPTIMIZATION, vol. 78, pp. 185-200, ISSN:0095-4616 DOI Accesso ONLINE all'editore

Bindini, U; DE PASCALE, Luigi (2017). Optimal transport with Coulomb cost and the semiclassical limit of density functional theory. JOURNAL DE L'ÉCOLE POLYTECHNIQUE. MATHÉMATIQUES, vol. 4, pp. 909-934, ISSN:2270-518X DOI Accesso ONLINE all'editore

De Pascale, Luigi; Louet, Jean; Santambrogio, Filippo; (2016). The Monge problem with vanishing gradient penalization: Vortices and asymptotic profile. JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES, vol. 106, pp. 237-279, ISSN:1776-3371 DOI Accesso ONLINE all'editore

De Pascale L.; Jimenez C. (2015). Duality Theory and Optimal transport for sand piles growing in a silos.. ADVANCES IN DIFFERENTIAL EQUATIONS, vol. 20 (9-10), pp. 859-886, ISSN:1079-9389 Accesso ONLINE all'editore

De Pascale Luigi (2015). Optimal transport with Coulomb cost. Approximation and duality. MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE, vol. 49 (6), pp. 1643-1657, ISSN:0764-583X DOI Accesso ONLINE all'editore

Champion, Thierry; De Pascale, Luigi; (2014). On the twist condition and c-monotone transport plans.. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, vol. 34, pp. 1339-1353, ISSN:1078-0947 DOI Accesso ONLINE all'editore

Champion, Thierry; De Pascale, Luigi; (2012). The Monge Problem in R^d: Variations on a Theme. JOURNAL OF MATHEMATICAL SCIENCES, vol. 181, pp. 856-866, ISSN:1072-3374 DOI Accesso ONLINE all'editore

Buttazzo G; De Pascale L.; Gori-Giorgi P. (2012). Optimal-transport formulation of electronic density-functional theory. PHYSICAL REVIEW A, vol. 85 (6), pp. 1-11, ISSN:1050-2947 DOI Accesso ONLINE all'editore

CHAMPION T; DE PASCALE L (2011). The Monge Problem in $R^d$. DUKE MATHEMATICAL JOURNAL, vol. 157 (3), pp. 551-572, ISSN:0012-7094 DOI Accesso ONLINE all'editore

DE PASCALE, Luigi; RIGOT, Severine (2011). Monge's Transport problem in the Heisenberg Group. ADVANCES IN CALCULUS OF VARIATIONS, vol. 4 (2), pp. 195-227, ISSN:1864-8258 DOI Accesso ONLINE all'editore

De Pascale L. (2011). The Monge problem in R^d: variations on a theme II. COMMUNICATIONS IN APPLIED ANALYSIS, vol. 15 (3), pp. 325-340, ISSN:1083-2564 Accesso ONLINE all'editore

G. BOUCHITTE; BUTTAZZO G; L. DE PASCALE (2010). The Monge-Kantorovich problem for distributions and applications. JOURNAL OF CONVEX ANALYSIS, vol. 17, pp. 925-943, ISSN:0944-6532 Accesso ONLINE all'editore

CARLIER G; DE PASCALE L; SANTAMBROGIO F (2010). A strategy for non-strictly convex transport costs and the example of $¦x-y¦^p$ in $R2$. COMMUNICATIONS IN MATHEMATICAL SCIENCES, vol. 8 (4), pp. 931-941, ISSN:1539-6746 Accesso ONLINE all'editore

CHAMPION T; DE PASCALE L (2010). The Monge problem for strictly convex norms in R^N. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, vol. 12 (6), pp. 1355-1369, ISSN:1435-9855 DOI Accesso ONLINE all'editore

CHAMPION T; DE PASCALE L; JIMENEZ C (2009). The infinite-eigenvalue problem and a problem of optimal transportation. COMMUNICATIONS IN APPLIED ANALYSIS, vol. 13 (4), pp. 547-565, ISSN:1083-2564

CHAMPION T; DE PASCALE L; JUUTINEN; P (2008). The $infty$-Wasserstein distance: Local Solutions and Existence of Optimal Transport Maps. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, vol. 40 (1), pp. 1-20, ISSN:0036-1410 DOI Accesso ONLINE all'editore

CHAMPION, Thierry; DE PASCALE, L; (2007). Asymptotic behavior of non linear eigenvalue problems involving $p-$Laplacian type operators. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS, vol. 137 (6), pp. 1179-1195, ISSN:0308-2105 DOI Accesso ONLINE all'editore

DE PASCALE L; GELLI M; GRANIERI L (2006). Minimal Measures, one dimensional currents and the Monge-Kantorovich Problem. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, vol. 27 (1), pp. 1-23, ISSN:0944-2669 DOI Accesso ONLINE all'editore

DE PASCALE L; EVANS L.C; PRATELLI A (2004). Integral estimates for transport densities. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, vol. 36 (3), pp. 383-395, ISSN:0024-6093 DOI Accesso ONLINE all'editore

DE PASCALE, Luigi; PRATELLI, Aldo; (2004). Sharp summability for Monge Transport density via Interpolation. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, vol. 10 (4), pp. 549-552, ISSN:1262-3377 DOI Accesso ONLINE all'editore

CHAMPION T; DE PASCALE L; PRINARI F (2004). Gamma-convergence and Absolute Minimizers for Supremal Functionals. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, vol. 10 (1), pp. 14-27, ISSN:1262-3377 DOI Accesso ONLINE all'editore

BUTTAZZO G; DE PASCALE L. (2003). Optimal shapes and masses, and optimal transportation problems. In: L. AMBROSIO L. A. CAFFARELLI Y. BRENIER ET AL.. Optimal Transportation and Applications, pp. 11-52, BERLINO: Springer Verlag, ISBN:354040192X., vol. 1813: DOI

CHAMPION T.; DE PASCALE L (2003). On the power law asymptotics for a model of dielectric breakdown. In: Homogenization, 2001, Napoli, June 18–22, 2001, Tokyo:, Gakkotosho Co., Ltd., vol. 18, pp. 231-235, ISBN:4762504270

BOUCHITTE G.; BUTTAZZO G; DE PASCALE L. (2003). A p-Laplacian approximation for some mass optimization problems. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, vol. 118 (1), pp. 1-25, ISSN:0022-3239 DOI Accesso ONLINE all'editore

PRATELLI A.; DE PASCALE L (2002). Regularity properties for Monge transport density and for solutions of some shape optimization problem. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, vol. 14 (3), pp. 249-274, ISSN:0944-2669 DOI Accesso ONLINE all'editore

DE PASCALE L (2001). The Morse-Sard theorem in Sobolev spaces,. INDIANA UNIVERSITY MATHEMATICS JOURNAL, vol. 50 (3), pp. 1371-1386, ISSN:0022-2518 DOI Accesso ONLINE all'editore

Luigi DE PASCALE

Curriculum

Education and Academic positions :
1996 Graduated from the University of Pisa with the degree of 110/110 cum laude. 2001 PhD
Thesis, University of Pisa. 2001 PhD Thesis, Université de Toulon et du Var (Toulon, France).
2001 (april-august) Post-doctoral associate at the Centre de Mathématiques Appliquées de
l’École Polytechnique de Palaiseau (Paris). 2001 (february-march) Senior scholarship of the
Istituto Nazionale di Alta Matematica, Roma (ITALY). 2001-2011 Assistant professor at
the department of applied mathematics “U.Dini” of the University of Pisa. 2005 (August-
December) Post-doctoral associate at the Mathematical Sciences Research Institute, Berkeley
(MSRI). 2007 (July-August) Post-doctoral associate at the Mathematical Sciences Research
Institute, Berkeley (MSRI). 2011-2016 Associate professor at the department of mathematics
of the University of Pisa. 2016- Associate professor at the department of mathematics of the
University of Firenze.
Professional activity of the last 5 years
Long visits: 2003, 2007, 2011, 2013, 2017, 2018, 2020, 2021, 2022 Visiting Professor
Université du Sud , Toulon-Var (FRANCE). 2008, 2010, 2014 Visiting Professor Université
Paris Dauphine, Paris (FRANCE). 2016 Visiting Professor Université Paris-sud Orsay, Paris
(FRANCE).
Selected Talks: 2013Limit as p → ∞ of the p−Laplacian ground state and optimal trans-
portation problems, Oberwolfach Mini-Workshop: The p−Laplacian Operator and Applica-
tions, Oberwolfach (Germany), February 10-16, 2013 2014Multimarginal optimal transport
problem. Basic theory, open problems and applications , Advanced course in the School: Op-
timal Transport in the Applied Sciences, Special Semester on: New Trends in Calculus of
Variations, RICAM, Linz, October 13 - December 12, 2014 2016On Multimarginal Optimal
Transportation with Coulomb Cost, ERC conference on Optimal Transportation and Appli-
cations, Centro De Giorgi, SNS, Pisa, November 7-11, 2016. 2017 Approximation of wave
functions by transport plans and applications, Optimal Transport meets Density Functional
Theory, University of Jyväskylä, Jyväskylä (Finland), May 31- June 2, 2017. 2018 Optimal
transport and a dissociating limit in Density Functional Theory, Optimal Transport and Ap-
plication, Centro De Giorgi, SNS, Pisa, November 12-16, 2018. 2019What is multi-marginal
optimal transportation and why it is interesting - and difficult (Selected talk), Optimal Trans-
port Methods in Density Functional Theory, BIRS, Banff (Canada) Jan 27- Feb 1. 2019Du-
ality in W ∞ optimal transport and a property of absolute minimizers, Nonlinear Averaging
and PDEs, On the occasion of the 60th birthday of J. Manfredi, Levico Terme, Jun 19-22.
2020 The relaxation of the Coulomb multi-marginal optimal transport cost and applications

Session Optimal Transport and Applications, 2020 Canadian Mathematical Society Winter
Meeting, Montréal, December 4-7. 2021 A property of absolute minimizers in Calculus of
Variations and of solutions of the Aronsson-Euler equation , L ∞ and constrained variational
problems, Roma, May 19-21. 2021 Optimal transport, wave functions and single electron
densities, Optimal transport and uncertainty, Pisa, November 26.
Teaching activity (in italian)
Two or Three Courses each for each academic year for a minimum of 120 hours.The total load
divided between basic mathematics for science and advanced mathematics for master student
in Mathematics.
Selected papers
1 L. De Pascale.-Morse–Sard Theorem in Sobolev Spaces
Indiana University Mathematics Journal, Vol. 50 n. 3 (2001), 1371-1387
2 L.De Pascale, A.Pratelli.-Regularity Properties for Monge Transport Density
and for Solutions of Some Shape Optimization Problem
Calculus of Variations and P.D.E., Vol. 14 n. 3 (2002), 249-274
3 L.De Pascale, L.C.Evans, A.Pratelli.- Integral Estimates for Transport Densities
Bulletin of the London Mathematical Society, Vol. 36 n.3 (2004), 383-395
4 T.Champion, L.De Pascale.-Principles of comparison with distance functions for
absolute minimizers
Journal of Convex Analysis, Vol. 14 n.3 (2007), 515–541
5 T.Champion, L.De Pascale, P.Juutinen-The ∞-Wasserstein distance: local solu-
tions and existence of optimal transport maps
SIAM Journal of Mathematical Analysis, Vol. 40 n.1 (2008), 1-20
6 T.Champion, L.De Pascale.-The Monge problem in R d
Duke Math. J., Vol. 157 n. 3 (2011), 551–572.
7 G.Buttazzo, L.De Pascale, P.Gori-Giorgi-Optimal-transport formulation of elec-
tronic density-functional theory
Phys. Rev. A, Vol. 85, n.6 (2012), (062502) 1-11
8 T.Champion, L.De Pascale.-On the twist condition and c-monotone transport
plans
Discr. and Cont. Dyn. Sys., Vol.34, n.4, April 2014.
9 M.Colombo, L.De Pascale, S. Di Marino.-Multimarginal optimal transport maps
for 1-dimensional repulsive costs
Canad. J. Math., Vol. 67 (2015), no. 2, 350-368.
10 U. Bindini, L.De Pascale.-Optimal transport with Coulomb cost and the semi-
classical limit of Density Functional Theory
Journal de l’Ècole polytechnique – Mathématiques, Vol. 4 (2017), p. 909–934, DOI:
10.5802/jep.59