1. Home
  2. TOPICS IN ADVANCED ANALYSIS B

TOPICS IN ADVANCED ANALYSIS B

Degree course: 
Corso di Second cycle degree in MATHEMATICS
Academic year when starting the degree: 
2022/2023
Year: 
1
Academic year in which the course will be held: 
2022/2023
Course type: 
Compulsory subjects, characteristic of the class
Credits: 
8
Period: 
Second semester
Standard lectures hours: 
64
Detail of lecture’s hours: 
Lesson (64 hours)
Requirements: 

Integration theory, theory of functions of one complex variable.

Final Examination: 
Orale

Oral examination. The exam consists of a discussion on the results and techniques presented during the course. The purpose of the exam is to verify: the level of knowledge and deepening of the topics addressed; the full understanding of the solving techniques and of the properties of the solutions; the ability to state theorems and expose proofs in a mathematically rigorous way; the ability to discuss the examples presented in class.

Assessment: 
Voto Finale

The purpose of the course is to present several tools and methods of functional analysis with applications to nonlinear dispersive equations, particularly to the nonlinear Schrödinger equation.

- The Fourier transform
- Interpolation theory
- Sobolev spaces
- The linear Schrödinger equation
- The Nonlinear Schrödinger equation, local theory
- Global existence and finite-time blowup
- Stability

Frontal lecture. 64 hours

Office hours: by appointment.
e-mail: claudio.cacciapuoti@uninsubria.it

Professors

CACCIAPUOTI CLAUDIO

Borrowers