FUNCTIONS THEORY

Second cycle degree in MATHEMATICS

Campus: PADOVA

Language: English

Teaching period: First Semester

Lecturer: MASSIMO LANZA DE CRISTOFORIS

Number of ECTS credits allocated: 8


Syllabus
Prerequisites: Analysis courses of the first two years, and preferably the following courses

Real Analysis
Mathematical Methods
Functional Analysis 1
Examination methods: Partial tests and final oral exam
Course unit contents: Differential Calculus in Banach spaces, including analytic functions.

Schauder spaces. Potential theory.

Elliptic boundary value problems. Singular perturbation problems.

Topological degree and its applications to the analysis of nonlinear differential and integral equations.