CODE  29032 

ACADEMIC YEAR  2021/2022 
CREDITS 

SCIENTIFIC DISCIPLINARY SECTOR  MAT/05 
LANGUAGE  Italian 
TEACHING LOCATION 

SEMESTER  2° Semester 
TEACHING MATERIALS  AULAWEB 
Some basic topics in partial differential equations are covered.
The lectures are delivered in Italian.
The aim of this course is to provide a first introduction to the theory of partial differential equations.
To provide some basic contents in Mathematical Analysis (Partial Differential Equations Theory) that are considered important to get a well grounded knowledge in the basic branches of Mathematics for the students who want to get a master's degree in Applied Mathematics.
Expected learning outcomes:
The students will become acquainted with the concepts and proofs carried out in class and how they are used in practice to solve exercises; moreover they will know how to produce easy variants of demonstrations seen and construct examples on topics covered in this course.
Mathematical Analysis I, 2 and 3, the first semester of Geometry, "IAS 1" (Functional analysis and L^p spaces)
Both theory and exercises are presented by the teacher in the classroom on the blackboard.
Fundamental linear partial differential equations with constant coefficients: the transport equation, the Laplace equation, Poisson, the heat and the wave equation. General properties of the solutions: mean value property, maximum principles, energy estimates and their consequences. Some general techniques to obtain explicit formulas for solutions: separation of variables, Green’s functions, reflection method, Perron's method, some potential theory, Duhamel’s principle, spherical means, method of descent. Conservation laws.
S. Salsa  Partial differential equations in action: from modelling to theory  Springer 2016
Office hours: Weekly office hours will be communicated. Meetings upon email requests will also be considered.
Office hours: The teacher is available for explanations one afternoon a week.
FILIPPO DE MARI CASARETO DAL VERME (President)
GIOVANNI ALBERTI
SIMONE DI MARINO (President Substitute)
MATTEO SANTACESARIA (President Substitute)
The class will start according to the academic calendar.
Written and oral.
Date  Time  Location  Type  Notes 

11/01/2022  09:00  GENOVA  Scritto  Appello riservato agli studenti che hanno frequentato l'insegnamento nell'a.a.2020/21 o a.a. precedenti 
01/02/2022  09:00  GENOVA  Scritto  Appello riservato agli studenti che hanno frequentato l'insegnamento nell'a.a.2020/21 o a.a. precedenti 
13/06/2022  14:00  GENOVA  Scritto  
06/07/2022  09:00  GENOVA  Scritto  
07/09/2022  09:00  GENOVA  Scritto 