• About SNS

    The Scuola Normale Superiore is a public institute for higher education that in its two centuries of life has earned itself a special place, both in Italy and abroad, a place characterised by merit, talent and scientific rigour. Two types of course are available: the undergraduate course and the PhD course.The teaching activity is distributed among four academic structures: the Faculty of Humanities, the Faculty of Sciences, placed in Pisa; the Department of political and social sciences and the Ciampi Institute, located in Florence.  

  • Admission

    The evaluation for entrance to the first year of the undergraduate course does not include the high school leaving certificate, and the bachelor's degree is not taken into consideration in the entrance examination for the fourth year course. For each PhD course, candidates’ level of competence, talent, motivations and aptitudes to scientific research will be assessed on the basis of their qualifications and research project and an interview.

  • Academics

    The Scuola Normale Superiore offers two types of course: the undergraduate course, leading to first and second level university degrees, and the PhD course, the international equivalent of the Italian Dottorato di ricerca.The teaching and research activity is distributed among three academic structures: the Faculty of Humanities, the Faculty of  Sciences, and the Department of Political and Social Sciences.The first two academic structures, housed at the Pisa site, organize courses for both the  undergraduate course and the PhD course. The Department of Political and Social Sciences, situated in Palazzo Strozzi in Florence, deals only with the PhD course.

  • Research

    A highly qualifying feature of the Normale way is the strong link between teaching and research that is a characteristic of both the undergraduate and the graduate programmes of the Scuola. The research structures of the two Faculties welcome students with a relevant study interest, enabling them to collaborate in a mature way with the activities of the researchers.

  • International

    The Scuola Normale is an institute of a decidedly international nature. Examinations for admission to the undergraduate degree course and for the PhD course are open to all citizens worldwide. A certain number of places on the PhD course are reserved for students from other countries. During the pre laurea and  post lauream teaching courses, study and research programmes are made available at overseas universities and research centres with which the Scuola forms an intense network of collaboration.  The doctorate course in particular is taught in a veritable graduate school in line with the highest international standards. 

Research Group in Infinite Dimension Analysis Research Group in Infinite Dimension Analysis

Research Group in Infinite Dimension Analysis Research Group in Infinite Dimension Analysis

Kolmogorov equations are a set of second-order elliptic and parabolic equations in a Hilbert H. space.

Compared to classical theory the Kolmogorov equations are characterized by the fact that the coefficients of the differential operators under consideration can be limited and quite irregular. Furthermore, during their study a great deal of attention is dedicated to the connections with differential stochastic equations.

There are a number of reasons to study Kolmogorov equations, for example:

  • a natural mathematical interest in extending classical results without supposing the usual hypotheses of regularity and limit in the coefficients;
  • the possibility to use the results obtained in the Kolmogorov equations for the study of partial derivate stochastic equations and associated control problems;

the possibility to apply the results obtained to mathematical models which intervene in various fields, such as economics and finance, fluid dynamics (especially turbulence), population dynamics, statistic mechanics and field theory (stochastic quantization).


Scuola Normale Superiore,
Piazza dei Cavalieri, 7
56126, Pisa, Italy
ph. 39 050 509290
fax 39 050 563513
e-mail: daprato@sns.it
Head of the group: Giuseppe Da Prato