Curriculum Vitae
Personal data Surname: Provenzano Name: Luigi
Place of birth: Casarano, LE (Italy) Date of birth: May 4, 1987
Citizenship: Italian
Current position
Ph.D student at Universit`a degli Studi di Padova Concluded on January 31, 2016
Final examination: April 15, 2016
Dipartimento di Matematica, http://www.math.unipd.it/
Webpage: http://www.math.unipd.it/~proz/
Office: 712
Phone: (+39) 049/827 1260-1261
Addres: Via Trieste, 63 - 35121 Padova (Italy) Email (work): [email protected]
Email (personal): [email protected]
Personal informations
Phone: (+39) 3491324373
Current address: Via San Pietro, 55 - 35139 Padova (Italy)
Permanent address: Contrada Sprono, s.n.c. - 73046 Matino, LE (Italy)
Languages First language: Italian.
Other languages: English fluent, French fluent, Spanish basic, Portuguese basic.
Degrees and Diplomas
Bachelor degree in Mathematics, Universit`a degli Studi di Padova, AY 2008-2009, with grade 106/110.
Master degree in Mathematics, Universit`a degli Studi di Padova, AY 2011-2012, with grade 110/110 “cum laude”.
Ph.D program in Mathematics, Universit`a degli Studi di Padova.
Status: concluded on 31/12/2015. Final examination/date of Ph.D: April 15, 2016.
Experiences abroad
Academic year 2010-2011 at Universit´e Denis Diderot - Paris 7, Paris (France), in the frame of the Erasmus project.
Courses attended: Analyse Spectrale, Localisation d’Anderson, Th´eorie des ´equations d’´evolution I et II, student seminar on the integrated density of states.
Research experience during the period May-August 2012 at BCAM, Bilbao (Espa˜na), in the fra- mework of Numeriwaves ERC project, under the supervision of Prof. Enrique Zuazua.
Research experience at the Universidade de Aveiro, Aveiro (Portugal), during the period October 2104-January 2015, within the Ph.D program of the University of Padova, under the supervision of Dr. Matteo dalla Riva.
Research interests
Mathematical Analysis: spectral perturbation problems, linear and nonlinear spectral theory, shape optimization, function spaces, functional analysis, asymptotic analysis, partial differential equations.
Control Theory.
Research activity
Spectral perturbation problems for polyharmonic operators subject to homogeneous boundary con- ditions (Dirichlet, Neumann, Steklov, intermediate or mixed boundary conditions) with particular concern to problems of perturabtion of mass density or shape. Mass concentration problems for se- cond order operators (Neumann, Steklov) and asymptotic analysis. Optimal design and location of controllers for partial differential equations.
Publications
Publications in scientific journals
P.D. Lamberti, L. Provenzano, “Neumann to Steklov eigenvalues: asymptotic and monotonicity re- sults”, accepted for publication in Proceedings of the Royal Society of Edinburgh, Section: A Mathe- matics, (2016).
L. Andreis, D. Barbato, F. Collet, M. Formentin, L.Provenzano, “Strong existence and uniqueness of the stationary distribution for a stochastic inviscid dyadic model”, Nonlinearity, Volume 29, Issue 3 (2016), 1156–69.
D. Buoso, L. Provenzano, “A few shape optimization results for a biharmonic Steklov problem”, J. Differential Equations, Volume 259, Issue 5 (2015), 1778–1818.
P.D. Lamberti, L.Provenzano, “A maximum principle in spectral optimization problems for ellip- tic operators subject to mass density perturbations”, Eurasian Mathematical Journal, Volume 4, Issue 3 (2013), 70–83.
Publications in books and proceedings
D. Buoso, L.Provenzano, “On the eigenvalues of a biharmonic Steklov problem”, Integral Methods in Science and Engineering, Theoretical and Computational Advances, 81–89, Birkh¨auser, (2015).
P.D. Lamberti, L.Provenzano, “Viewing the Steklov eigenvalues of the Laplace operator as critical Neumann eigenvalues”, Current Trends in Analysis and Its Applications, Proceedings of the 9th ISAAC Congress, Krak´ow 2013 171–178, Birkh¨auser, Basel (2015).
Submitted papers
D. Buoso, L.M. Chasman, L. Provenzano, “On the stability of some isoperimetric inequalities for the fundamental tones of free plates”, submitted.
L. Provenzano, “A note on the Neumann eigenvalues of the biharmonic operator”, submitted.
Work in progress
“On vibrating thin membranes with mass concentrated near the boundary”, in collaboration with Dr.
M. Dalla Riva, in preparation.
Other publications
“On mass distribution and concentration phenomena for linear elliptic partial differential operators”, Ph.D thesis, Universit`a degli Studi di Padova, 2016.
“Eigenvalues of harmonic and poly-harmonic operators subject to mass density perturbations”, Master thesis, Universit`a degli Studi di Padova, 2012.
“Sulla dipendenza dello spettro di una membrana vibrante dalla densit`a di massa”, B.A. thesis, Uni- versit`a degli Studi di Padova, 2009.
Organization of conferences
Organizer of “Perturbation, Elliptic and Parabolic workshop”, Aveiro (Portugal), November 6-7, 2014.
Conferences attended
School and Workshop “PDEs and Applications”
Napoli (Italy), February 8-12, 2016 delivered talk
“On the first positive eigenvalue of fourth order Stkelov and Neumann problems”.
Modelli Matematici per Ponti Sospesi Torino (Italy), September 17-18, 2015.
Modern Mathematical Methods in Science and Technology (M3ST) 2015 Kalamata (Greece), August 30-September 1, 2015
delivered talk
“Neumann to Steklov eigenvalues: an asymptotic analysis”.
EquaDiff 2015
Lyon (France), July 6-10, 2015 Poster
“On the eigenvalues of Steklov-type problems”.
Mini-Courses in Mathematical Analysis Padova (Italy), June 22-26, 2015
Spectral theory and shape optimization problems for elliptic PDEs Milano (Italy), February 9-13, 2015.
XXV Convegno Nazionale di Calcolo delle Variazioni Levico Terme(Italy), February 2-6, 2015.
Perturbation, Elliptic and Parabolic workshop (member of the organizing committee) Aveiro (Portugal), November 6-7, 2014
delivered talk
“Shape optimization for the eigenvalues of a biharmonic Steklov problem”.
5th Iberian Mathematical Meeting Aveiro (Portugal), October 3-5, 2014 delivered talk
“On the eigenvalues of a fourth order Steklov problem”.
IMSE 2014
Karlsruhe (Germany), July 21-25, 2014 delivered talk
“On the fundamental tones of free vibrating plates”.
First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI Bilbao (Spain), June 30 - July 4, 2014.
Mini-courses in Mathematical Analysis Padova (Italy), June 23-27, 2014.
Workshop on Partial Differential Equations and Applications Pisa (Italy), February 20-21, 2014.
XIV Convegno Nazionale di Calcolo delle Variazioni Levico Terme (Italy), January 27-31, 2014.
New Trends in Calculus of Variations Naples (Italy), November 21-23, 2013.
Workshop in New Trends in Shape Optimization Erlangen (Germany), September 23-27, 2013.
Third workshop on thin structures Naples (Italy), September 05-07, 2013.
Isaac 9th Congress
Krakow (Poland), August 5-10, 2013 delivered talk
“On the spectral behavior of the Neumann Laplacian under mass density perturbation”.
Mini-courses in Mathematical Analysis Padova (Italy), June 10-14, 2013.
European Finite Element Fair Bilbao (Spain), June 8-9, 2012.
Mini-courses in Mathematical Analysis Padova (Italy), June 13-17, 2011.
Other seminars
“On the spectral behavior of a biharmonic Steklov problem”
Universit´e de Neuchˆatel, Neuchˆatel (Switzerland), January 13, 2016.
“Neumann vs Steklov: an asymptotic analysis for the eigenvalues”
Politecnico di Torino, Torino (Italy), July 3, 2015.
Teaching activity
Teaching support for the class Analisi Matematica 1 (Calculus I, degree course in Mathematics) in the fall semester 2015-2016, at Universit`a degli Studi di Padova, for a total of 25 hours.
Teacher of the mini-courses “Introduzione a Mathematica” (degree courses in Physics and Astro- nomy), May, 08–15, 2015, for a total of 6 hours.
Teaching assistant for the class Analisi Matematica 1 (Calculus I, degree courses in Engineering) in the fall semester 2014-2015 at Universit`a degli Studi di Padova, for a total of 5 hours.
Teacher (Professore a contratto) of the class “Precorso di Matematica” (Basic Mathematics, de- gree course in Statistics) in the fall semester 2014-2015, at Universit`a degli Studi di Padova, for a total of 20 hours.
Teaching support for the class Analisi 2 (Calculus II, degree course in Mathematics) in the spring semester 2013-2014, at Universit`a degli Studi di Padova, for a total of 25 hours.
Teaching assistant for the class Fondamenti di Analisi Matematica 2 (Calculus II, degree courses in Aerospace Engineering and Mechanical Engineering) in the fall semester 2013-2014, at Universit`a degli Studi di Padova, for a total of 4 hours.
Teaching assistant for the class Analisi Matematica 1 (Calculus I, degree courses in Physics and Astronomy) in the spring semester 2012-2013, at Universit`a degli Studi di Padova, for a total of 2 hours.
Other activities
Teacher of the “Precorso di Calcolo”, online course on the platform Iversity, 2015-2016.
Aggiornato il 15/02/2016
Il sottoscritto Luigi Provenzano, ai sensi del Dlgs 196/03, autorizza espressamente l’utilizzo dei dati personali e professionali riportati nel curriculum.
Il sottoscritto Luigi Provenzano, consapevole che chiunque rilascia dichiarazioni mendaci `e punito ai sensi del codice penale e delle leggi speciali in materia, ai sensi degli artt. 46 e 47 del D.P.R.
28 Dicembre 2000, n.445 e successive modificazioni e integrazioni, dichiara che quanto riportato nel presente curriculum corrisponde a verit`a.
