Catalogo dei Corsi di studio

ANTONIO SICONOLFI
Curriculum Vitae
Part I General Information
Full Name Antonio Siconolfi
Date of Birth November 3, 1951
Place of Birth Lecce (Italy)
Citizenship Italian
Permanent Address
Codice Fiscale
Via Celimontana 28, 00184 Roma (Italy)
SCNNTN51S03E506J
Mobile Phone
Number
(+39)3343710342
E-mail antonio.siconolfi@uniroma1.it ; siconolfi@mat.uniroma1.it
Spoken Languages Italian (native), English, French
Part II Education
Type Year Institution Notes
University
graduation
1974 Università di Roma La
Sapienza
Grade 110/110 cum laude
Part III Appointments
IIIA Academic Appointments in Italy
Start End Institution Position
1987 ------ Sapienza Università di Roma Professore Associato
1986 1987 Università della Calabria Professore Associato
1984 1986 Università della Calabria Professore incaricato stabilizzato
1980 1984 Università della Calabria Professore incaricato
1976 1978 Università di Roma La Sapienza Assegnista di ricerca (Postdoc
fellowship)
IIIB Academic Appointments abroad
Start End Institution Position
Sept.
15,2018
Decemb.
15, 2018
Mathematical Sciences Research
Institute - Berkeley
Eisenbud Professor (see the attached
letter by MSRI)Oct. 1,
2012
January
31, 2013
Graduate School of Mathematical
Sciences University of Tokyo
Visiting Professor , giving a PhD
course (invited by prof. Y. Giga)
1978 1980 CEREMADE, Univ. Paris-Dauphine Postdoc fellowship
IIIC Shorter Appointments (short visiting positions) (I am listing the ones of the last 15 years)
Period Institution Position
August 2019 Hokkaido Summer Institute Invited Professor, teaching and advanced course
( 10 days)
March 2018 University of Toyama Visiting Professor ( 2 weeks)
January 2016 Kukul Kam School- Merida Invited Professor teaching and advanced course (2
weeks)
September
2014
Mittag Leffler Institute -
Stockolm
Invited professor (2 weeks)
May 2012 Ecole National Superieure de
Techniques Avancees - Paris
Visiting Professor (2 weeks)
October 2011 Centro de Investigacion en
Matematica (CIMAT) -
Guanajuato
Visiting Professor (2 weeks)
May 2011 Ecole National Superieure de
Techniques Avancees - Paris
Visiting Professor (2 weeks)
June 2010 Ecole Normale Superieure de
Lyon
Visiting Professor (2 weeks)
May 2010 Ecole National Superieure de
Techniques Avancees - Paris
Visiting Professor (2 weeks)
April 2009 Universidade Tecnica de
Lisboa
Visiting Professor (2 weeks)
May 2007 Ecole Normale Superieure de
Lyon
Visiting Professor (1 month)
October 2006 Fukuoka University Visiting Professor (2 weeks)
January 2004 Ecole Normale Superieure de
Lyon
Visiting Professor (2 weeks)
Part IV Habilitation
Habilitation to full professor in Mathematical Analysis obtained in 2013. This was the first time that
the habilitation was introduced in Italy.
Part V Nomination Award
Nomination for a Clay Senior Award 2018
by the Clay Mathematical Institute
See the attached letter by Prof. A. FathiPart VI Invited Speaker at International Conferences or Scientific Institutions
(I am listing the main ones of the last 15 years)
VI A Colloquia
October 2012 Colloquium of the Graduate School of Mathematical Sciences University of
Tokyo
November 2012 Colloquium of the Mathematics Department Tohoku University - Sendai
VI B Invited Talks at International Conferences
June 2020 Géométrie, Topologie et Dynamique en basses dimensions Sète, France
July 2019 Recent Trends in Hamilton Jacobi Equations - Fudan University, Shanghai
November 2018 Viscosity Solutions and Related Topics - Tohoku University, Sendai
October 2018 Hamiltonian Systems, from Topology to Applications through Analysis - MSRI
Berkeley
July 2018 Weak KAM - ICM Satellite Conference, Rio de Janeiro
June 2017 "Non-regular Spacetime Geometry" - Università di Firenze
January 2017 Beyond Hamilton Jacobi Equations, last call to Bordeaux - Bordeaux
July 2016 Hamilton Jacobi Equations Fudan University - Shanghai
July 2015 Banff Homogenization Workshop Banff
May 2015 Lebanese International Conference on Mathematics and Applications - Beirouth
January 2015 Hamiltonian Dynamical Systems - Shanghai
June 2014 New Trends in Optimal Control - Tours
April 2014 Weak KAM beyond Hamilton-Jacobi - Avignon
February 2014 International Workshop on PDE S and Related Topics in Nonlinear Problems -
Hiroshima
June 2013 Meeting of HJnet - Rennes
January 2013 Fukae Workshop on PDE s - Kobe
September 2013 Control Day - PadovaSeptember 2012 New Trends in Optimal Control - Ravello
April 2012 Geometric PDE s and applications - Padova
December 2011 Dynamical Optimization in PDE and Geometry Applications to Hamilton-Jacobi
Equations - Bordeaux
August 2011 Hamiltonian Dynamics - Nanjing
June 2011 UT Austin-Portugal Conference - Lisbon
March 2011 ITN Sadco Kick off Meeting - Paris
October 2010 Rencontre KAM faible de Calvi - Calvi (Corsica)
October 2009 Asymptotics in complex systems , Corinaldo
June 2009 Viscosity Solutions of Differential Equations and Related Topics - Kyoto
February 2009 Nice Weak KAM Methos in Nice - Nice
September 2008 Nonlinear PDE s - Roma
February 2008 Meeting of GREFI-MEFI - Luminy
October 2007 Hamilton Jacobi days - Madrid
June 2007 25th Anniversary of Viscosity Solutions - Tokyo
October 2006 Mathematical Models of Phenomena and Evolution Equations - Kyoto
July 2006 New Trends in Viscosity Solutions and Nonlinear PDE s - Lisboa
November 2005 MSRI Workshop on Optimal Transport and Applications - Berkeley
July 2005 Homogeneisation Aleatoire - Luminy
March 2005 PDE Real Aalysis Seminar - Tokyo
VI C Invited Talks at Scientific Institutions
At all universities visited (see III B and III C) I have given a talk. In addition I have been invited to
give talks at some italian universities, like the University of Pavia, University of Pisa, University of
Roma Tor Vergata , University of Padova, University of Roma 3, University of Modena,
University of Firenze.Part VII Organization of Workshops and Seminars (in the last 15 years)
INDAM workshop : Hamilton-Jacobi equations at the crossroads of PDE s, Dynamical
Systems and Geometry, Cortona (June 2015) coorganizer
PDE Real Analysis Symposium : Weak KAM Theory and Related Topics Tokyo (January
2013) coorganizer
INDAM workshop :Weak KAM Theory in Italy, Cortona (September 2011) coorganizer
Meeting : Viscosity, Metric and Control Theoretic Methods in Nonlinear PDE s, Roma
(September 2008)- coorganizer
French-Italian SIMAI Meeting : Workshop on Viscosity Solutions : qualitative theory and
applications, Torino (July 2006) coorganizer
Part VIII Member of the Council of the PhD school : Dottorato di Ricerca in Matematica at
the University of Roma Sapienza from November 2010 until October 2018.
Part IX Supervision of PhD students and Postdocs / young researchers.
IX A PhD Students
Marco Pozza - University of Roma Sapienza , PhD obtained in 2020
Sahar Zabad - University of Roma Sapienza , PhD obtained in 2016
Nguyen Thuong PhD student of the TMR European Network SADCO , PhD obtained in
2013
Maxime Zavidovique (jointly with A. Fathi (official advisor)), Ecole Normale Superieure
de Lyon, PhD obtained in 2010
Gabriele Terrone (jointly with M. Bardi (official advisor)), University of Padova, PhD
obtained in 2007
Fabio Camilli (jointly with M. Falcone (official advisor)), University of Roma Sapienza ,
PhD obtained in 1996.
IX B Postdocs and young researchers
Kazushige Nakagawa (from University of Fukushima) visiting young researcher at the
University of Roma Sapienza, June September 2019
Mohammad Al Haj postdoc at University of Roma Sapienza , 1 year, 2014 Antonio Marigonda, postdoc at University of Roma Sapienza , 6 months 2010
Annalisa Cesaroni (young researcher at the University of Padova) , 6 months, 2007
Olga Bernardi postdoc at the University of Padova , 1 year 2007-2008
Andrea Davini post doc at the University of Roma Sapienza , 2 years, 2004-2006
Fabio Camilli young researcher at the University of Torino, 2 years, 1998-1999
Part X Teaching experience
X A PhD courses and advanced courses
Year Institution Lecture/Course
August
2019
Hokkaido Summer Institute Introduction to the Theory of Geometric
Equations
January
2016
Kukul Kam School, Merida (Mexico) Weak KAM Theory
October -
December
2012
Graduate School of Mathematical
Sciences University of Tokyo
PhD course : Weak KAM Theory and
Hamilton Jacobi Equations
Spring
2017
University of Roma Sapienza PhD course : Hamilton Jacobi equations on
graphs
Spring
2010
University of Roma Sapienza PhD course : Time dependent Hamilton
Jacobi Equations
Spring
2006
University of Roma Sapienza PhD course : Weak KAM theory
X B Courses at italian universities (Laurea triennale,magistrale e quadriennale)
1987 2020 ; Università di Roma Sapienza (mostly 2 courses each year)
Courses for the degrees in Matematica, Fisica, Informatica, Scienze Biologiche, Scienze
Naturali, Farmacia, Architettura, Ingegneria Elettrotecnica :
Matematica : Analisi Matematica 1 , Analisi Matematica 2, Calcolo 1, Equazioni
Differenziali Ordinarie, Ottimizzazione, Equazioni Differenziali alle Derivate Parziali,
Analisi Reale, Equazioni Differenziali Non Lineari, Teoria delle Funzioni
Fisica : Analisi Matematica, Analisi Vettoriale
Informatica : Calcolo Differenziale, Calcolo Integrale
Scienze Biologiche e Scienze Naturali : Calcolo Biostatistica Metodi Matematici e
Informatici in biologia, Istituzioni di Matematica
Architettura : Analisi Matematica 2Farmacia : Fondamenti di Matematica e Statistica
Ingegneria Elettrotecnica : Analisi Matematica 2
1980 1987 ; Università della Calabria
Courses for the degree in Scienze Economiche : Analisi Matematica
Advisor for about 40 theses for the degrees of Laurea Magistrale, Triennale and
Quadriennale in Mathematics
Part XI Partecipation in Funded Research Groups (as I-investigator or PI principal
investigator)
XI A European projects
Years Role Name of Project
2011-
2014
I Initial Training Network Marie Curie " Sensitivity Analysis for Deterministic
Controller Design (SADCO)
1998-
2001
I TMR Project "Viscosity Solutions and Applications (1998-2001)
XI B National Projects PRIN
Years Role Name of Project
2009 I PRIN : Metodi di viscosità e di controllo nello studio di modelli diffusivi non lineari
con degenerazioni
2007 I PRIN : Metodi metrici e del principio di massimo per equazioni di Hamilton-Jacobi
ed ellittiche non lineari
2005 I PRIN : Metodi di viscosità e metrici per l analisi di alcune equazioni alle derivate
parziali completamente non lineari
2002 I PRIN : Metodi di viscosità e metrici per equazioni di Hamilton-Jacobi e equazioni
alle derivate parziali completamente non lineari
2000 I PRIN : Soluzioni di viscosità di equazioni ellittiche degeneri non lineari ed
applicazioni a problemi di controllo ottimo e giochi differenziali deterministici e
stocastici, evoluzioni di fronti e analisi multiscala di modelli di trattamento di
immagini
1998 I PRIN : Equazioni non lineari di evoluzione alle derivate parziali
XI C Projects funded by the University of Roma Sapienza
Years Role Name of Project
2019 PI Progetto Accordo Interuniversitario con la Universidade Federal do Rio de Janeiro e
con la Universidade Federal do Rio Grande do Sul, dal titolo : Grafi e networks con applicazioni all'analisi di dati multidimensionali
2019 I Progetto Ateneo Sapienza : Nonlinear partial differential equations arising in
Geometry and Applied Sciences

2018 I Progetto Ateneo Sapienza : Analisi qualitativa e asintotica di EDP non lineari
2017 PI Progetto Accordo Interuniversitario con la Universidade Federal do Rio de Janeiro e
con la Universidade Federal do Rio Grande do Sul, dal titolo : Grafi e networks con
applicazioni all'analisi di dati multidimensionali
2017 PI Progetto Ateneo Sapienza : Flussi di misure ed equazioni alle derivate parziali
2016 I Progetto Ateneo Sapienza : Tecniche EDP, dinamiche e probabilistiche per lo studio
di perturbazioni di equazioni e sistemi di di Hamilton Jacobi
2015 PI Progetto Ateneo Sapienza : Asintotica e omogeneizzazione di dinamiche
Hamiltoniane: tecniche probabilistiche e di viscosità
2014 I Progetto Ateneo Sapienza : Metodi probabilistici nella teoria KAM debole
2013 I Progetto Ateneo Sapienza : Tecniche KAM deboli e di grandi deviazioni per l analisi
asintotica di modelli deterministici e stocastici
2012 PI Progetto Ateneo Sapienza : Modelli level-set applicati alla fluidodinamica, alla
combustione turbolenta, alla dinamica dei materiali granulari: analisi matematica e
approssimazione numerica
2011 I Progetto Ateneo Sapienza : Analisi ed approssimazione di modelli differenziali non
lineari in fluidodinamica e scienza dei materiali
2010 I Progetto Ateneo Sapienza : Analisi ed approssimazione di modelli differenziali non
lineari in fluidodinamica e scienza dei materiali
2009 I Progetto Ateneo Sapienza : Analisi ed approssimazione di modelli differenziali non
lineari in fluidodinamica e scienza dei materiali
2009 I Progetto Ateneo Federato Sapienza : Analisi, algoritmi e metodi di calcolo per una
classe di equazioni alle derivate parziali non lineari
2008 PI Progetto Ateneo Federato Sapienza : Tecniche di viscosità e metriche per
l omogeneizzazione e la stabilità di equazioni alle derivate parziali non lineari
2008 I Progetto Ateneo Sapienza : Analisi qualitativa di equazioni alle derivate parziali non
lineari
2007 PI Progetto Ateneo Federato Sapienza : Regolarità e stabilità di soluzioni di viscosità di
EDP non lineari
2007 I Progetto Ateneo Sapienza : Regolarità e stabilità di soluzioni di viscosità di EDP non
lineari
2006 PI Progetto Facoltà SMFN : Tecniche metriche e di viscosità per equazioni alle derivate
parziali non lineari
2005 PI Progetto Facoltà SMFN : Tecniche metriche e di viscosità per equazioni alle derivate
parziali non lineari
2005 I Progetto Ateneo Sapienza : Metodi di viscosità, metrici e di teoria del controllo in
equazioni alle derivate parziali non lineari.
2004 PI Progetto Facoltà SMFN : Metodi di viscosità per equazioni alle derivate parziali non
lineari
2004 I Progetto Ateneo Sapienza : Metodi di viscosità, metrici e di teoria del controllo in
equazioni alle derivate parziali non lineari.
2002 I Progetto Facoltà SMFN : Metodi di viscosità e metrici per equazioni alle derivate parziali completamente non lineari
2002 I Progetto Ateneo Sapienza: Metodi di viscosità per equazioni alle derivate parziali
completamente non lineari
2001 PI Progetto Facoltà SMFN : Tecniche di viscosità per equazioni di Hamilton Jacobi e per
equazioni alle derivate parziali completamente non lineari
XI C Projects funded by INDAM
Since 2002, I have been PI of 5 INDAM-GNAMPA projects on viscosity solutions and I have
participated as investigator in other 10 INDAM-GNAMPA projects on viscosity solutions
Part XII Other qualifications and Scientific Support Activities
Member of the Committee for a position of Associate professor at the Dipartimento di
Matematica of the University of Roma Sapienza (2019)
Member of the Committee for a position of Associate professor at the Dipartimento di
Matematica of the University of Catania (2002)
Member of the Committee for a position of Ricercatore at the Dipartimento di
Matematica of the University of Lecce (2008)
Member of the Committee for a position of Ricercatore at the Dipartimento di
Matematica of the University of Napoli- Partenope (2005)
Member of the Committee for a position of Ricercatore at the Dipartimento di
Matematica of the University of Pisa (2005)
Member of the Committee for a position of Ricercatore at the Dipartimento di
Matematica of the University of Pavia (1998)
Member of a Committee for assigning postdoc positions (assegni di ricerca) at the
Dipartimento di Matematica of the University of Roma Sapienza (2016)
Member (and rapporteur) of the PhD Dissertation Committee for the student Thi Tuyen
Guyn, University of Rennes (2016)
Member of the PhD Dissertation Committee for the student Joao Meireles, University of
Padova (2015)
Member (and rapporteur) of the PhD Dissertation Committee for the student Mohammad Al
Haj, Ecoles de Mines, Paris (2013)
Member of the PhD Dissertation Committee for the student Maxime Zavidoviques, Ecole
Normale Superieure de Lyon (2010) Invited to write two papers for the Encyclopedia of Mathematical Physics , Elsevier (2006)
and for the Encyclopedia of Complexity and System of Science , Springer (2012) (n. 11
and n. 22 of the list of publications).
Referee for many mathematical journals, among which : Inventiones Mathematicae,
Advances in Mathematics
Coorganizer of the weekly seminar Analisi Matematica and of the seminar HAM and Co
at the Dipartimento di Matematica of the University of Roma Sapienza
Part XIII Research Areas
My research is focused on the qualitative analysis of Hamilton-Jacobi equations in the framework
of viscosity solutions theory. A new point of view in this direction is given in the paper n. 32 (see
the complete list of publications) where it has been proposed a metric intepretation of HJ equations
both in the convex and nonconvex case. In two papers with Albert Fathi (n. 27, 29 ) it has been
shown that weak KAM theory, which has been formulated in the framework of regular
Hamiltonianian dynamics, can be extended even for only continuous quasiconvex Hamiltonians.
Indeed, in this case, a dynamics, at least in the traditional sense, cannot be defined. This apparatus
has been combined with some stochastic tools to study, in particular, stationary ergodic
homogeneization (n. 16, 19, 22) and weakly coupled systems (n. 5, 7, 10 ). It has also been adapted
to deal with problems posed on graphs and networks ( n. 4, 8 and papers in preparation). Finally, in
collaboration with H. Ishii (n.3) the existence of generalized Mather measures has been proved via
duality in a appropriate topological setting. This new point of view seems promising for further
developments.
Key words for my research are :
Viscosity solutions theory
Weak KAM theory
Deterministic and stochastic homogenization of Hamilton-Jacobi equations
Inverse Lyapunov theorems
Time functions on oriented Lorentzian manifolds
Networks and graphs
Part XIV Summary of Scientific Achievements, List of Publications in the area
Mathematical Analysis (SSD MAT05) since 1993.
XIV A Papers
1 A. Siconolfi, Homogenization of the G-equation : a metric approach, SN Partial PDE and
Applications (2020) (to appear) (17 pages)2 Y. Fujita, N. Hamamuki, A. Siconolfi, N. Yamaguchi, A class of nowhere differentiable
functions satisfying some concavity-type estimate, Acta Math. Hungarica 160 (2020), 343 -
359
3 H.Ishii, A. Siconolfi, The vanishing discount problem for Hamilton Jacobi in the Euclidean
space, Comm. Partial Differential Equations (6) 45 (2020), 525-560
4 M. Pozza, A. Siconolfi, Discounted Hamilton Jacobi equations on networks and asymptotic
analysis, Ind. Univ. Math. Journal (to appear),
http://www.iumj.indiana.edu/IUMJ/Preprints/8435.pdf (30 pages)
5 A. Davini, A. Siconolfi, M. Zavidovique, Random Lax--Oleinik semigroups for Hamilton--
Jacobi systems, Journal des Math. Pures et Appl. (9) 120 (2018) 294-333
6 A.Siconolfi, S.Zabad, Scalar reduction techniques for weakly coupled Hamilton-Jacobi
systems, NoDea, Nonlinear Differential Equations Appl. 25 (2018) no 6. Art. 50, (20 pages)
7 H. Ibrahim, A. Siconolfi, S.Zabad, Cycle characterization of the Aubry Set for weakly coupled
Hamilton- Jacobi systems, Commun. Contemp. Math. 20 (2018), no 6, (28 pages)
8 A.Siconolfi, A. Sorrentino, Global Results for Eikonal Hamilton-Jacobi equations on
networks, Analysis and PDE 11 (2018) no 1, 171-211
9 T. Nguyen, A. Siconolfi, Singularly perturbed control systems with noncompact fast variable,
J. Diff. Eq. 261 (2016), no 8, 4593 4630
10 H. Mitake, A. Siconolfi, H. V. Tran, and N. Yamada, A Lagrangian approach to weakly
coupled Hamilton--Jacobi systems, SIAM J. Math. Anal. 48 (2016) no 2,, 821- 846
11 A. Davini, A. Siconolfi, Existence and regularity of strict subsolutions in the stationary
ergodic setting, Ann. Inst. Poincaré, Anal. non linéaire, 33 (2016), no 2, 243 272
12 G. Contreras, R. Iturriaga, A. Siconolfi, Homogenization on arbitrary manifolds , Calc. of
Variation and PDE, 52 (2015), no 1-2, 237 252
13 Z. Rao, A. Siconolfi, H. Zidani, Transmissions conditions on interfaces for Hamilton--Jacobi
Bellman equations. J. Diff. Eq. 257 (2014), no 11, 3978 4014
14 A. Siconolfi, Hamilton Jacobi equations and weak KAM theory, Mathematics of Complexity
and Dynamical Systems, Vols 1-3, 683 703, Springer, New York, 2012
15 A. Siconolfi, G. Terrone, A metric proof of the converse Lyapunov Theorem for
semicontinuous multivalued dynamics, J. Discr. Cont. Dyn. Sys, 32, (2012), no 12, 4409-4427
16 A. Davini, A. Siconolfi, Weak KAM theory topics in the stationary ergodic setting, Calc. of
Variation and PDE, 44 (2012), no 3-4, 319-350
17 A. Fathi, A. Siconolfi, On smooth time functions, Math. Proc. Cambridge Phil Soc, 152
(2012), no 2, 303 33918 A. Marigonda, A. Siconolfi, Metric formulae for nonconvex Hamilton Jacobi equations and
applications. Advances in Diff. Eq., (2011), no 7-8, 691 724
19 A. Davini, A. Siconolfi Metric techniques for convex stationary ergodic Hamiltonians, Calc.
of Variation and PDE, 40 (2011), no 3-4, 391 421
20 O. Bernardi, F. Cardin, A. Siconolfi, Cauchy problems for stationary Hamilton Jacobi
equations under mild regularity assumptions. Journal of Geometric Mechanics, 1 (2009) , no
3, 271 294
21 F. Camilli, A. Cesaroni, A. Siconolfi, Randomly perturbed dynamical system and Aubry
Mather theory, Int. J. Din. Syst. and Diffe. Equ., 2 (2009), no 3-4 139 169
22 A. Davini, A. Siconolfi, Exact and approximate correctors for stochastic Hamiltonians: the 1
dimensional case. Math Annalen, 345 (2009), no4, 749 782
23 A. Siconolfi, G. Terrone, A metric approach to the converse Lyapunov Theorem for
continuous multivalued dynamics. Nonlinearity, 20 (2007), no 5, 1077 1093
24 F. Camilli, A. Siconolfi, Effective Hamiltonian and homogenisation for measurable Eikonal
equations. Arch. Rat. Mech. Anal., 183 (2007), no 1, 1 20
25 A. Siconolfi, Hamilton Jacobi Equations and Dynamical Systems: Variational aspects,
Encyclopedia of Mathematical Physics edt. by J.P. Françoise, G.L. Naber, T.S. Tsu, Elsevier 2
(2006) 636 644.
26 A. Davini, A. Siconolfi, A generalized dynamical approach to the large time behavior of
solutions of Hamilton Jacobi equations. SIAM J. Math Anal., 38 (2006), no 2, 478 502
27 A. Fathi, A. Siconolfi, PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians.
Calc. Var. and PDE, 22 (2005), no 2, 185 228
28 F. Camilli, A. Siconolfi, Time-dependent measurable Hamilton--Jacobi equations. Comm.
Partial Differential Equations, 30 (2005), no 4-6, 813 847
29 A. Fathi, A. Siconolfi, Existence of C^1 critical subsolutions of the Hamilton-Jacobi
equations. Invent. Math., 155, (2004), no 2, 363 388
30 F. Camilli, A. Siconolfi, Hamilton-Jacobi equations with measurable dependence on the state
variable. Adv. Diff. Eq., 8, (2003), no 3, 733 768
31 A. Siconolfi, Almost continuous solutions of geometric Hamilton Jacobi equations Ann. Inst.
H. Poincaré Non Linéaire , 20, (2003), no 2, 237 269
32 A. Siconolfi, Metric character of Hamilton--Jacobi equations, Trans. Amer. Math. Soc., 355,
(2003), no 5, 1987 2009 and Errata to "Metric character of Hamilton Jacobi equations"
Trans. Amer. Math. Soc. 355 (2003), no 5, 4265
33 F. Camilli, A. Siconolfi, Nonconvex degenerate Hamilton Jacobi equations, Math. Z.,242,
(2002), no 2, 1 2134 A. Siconolfi, Some formulae related to Hamilton Jacobi equations, RIMS Kokyu-Roku.,
no1287, (2002), 99 113
35 F. Camilli, A. Siconolfi, Maximal subsolutions for a class of degenerate Hamilton Jacobi
problems , Indiana Univ. Math. J. 48 (1999), no 3, 1111 1131
36 F. Camilli, A. Siconolfi, Discontinuous solutions of a Hamilton Jacobi equation with
infinite speed of propagation SIAM J. Math. Anal. 28 (1997) no 6, 1420 1445
37 A. Siconolfi, A first order Hamilton-Jacobi equations with singularity and the evolution of
level sets, Comm. Partial Differential Equations 20 (1995), no 1-2, 277-307
38 P. Loreti, A. Siconolfi,, A semigroup approach for the approximation of a control problem