MATH-502 / 5 credits

Teacher: Radici Emanuela

Language: English


Summary

The aim of this course is to provide a solid foundation of theory of Distributions, Sobolev spaces and an introduction to the more general theory of Interpolation spaces.

Content

Keywords

Distributions, Sobolev Spaces, Interpolation Spaces

Learning Prerequisites

Required courses

  • MATH-200: Analysis III
  • MATH-205: Analysis IV
  • MATH-303: Measure and integration

Recommended courses

  • MATH-302: Functional analysis I

Learning Outcomes

By the end of the course, the student must be able to:

  • Demonstrate proficiency in statements
  • Identify use and role of the assumptions
  • Recognize which concepts and results could be used in a given context
  • Describe concepts and proofs
  • Apply theory to specific examples

Teaching methods

Lectures + Exercises

Assessment methods

Oral

Dans le cas de l'art. 3 al. 5 du Règlement de section, l'enseignant décide de la forme de l'examen qu'il communique aux étudiants concernés.

Supervision

Assistants Yes

Resources

Bibliography

"Theory of Distributions", Günther Hörmann & Roland Steinbauer.

"A First Course in Sobolev Spaces", Giovanni Leoni.

"An Introduction to Interpolation Theory", Alessandra Lunardi.

 

Ressources en bibliothèque

In the programs

  • Semester: Fall
  • Exam form: Written (winter session)
  • Subject examined: Distribution and interpolation spaces
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Fall
  • Exam form: Written (winter session)
  • Subject examined: Distribution and interpolation spaces
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Fall
  • Exam form: Written (winter session)
  • Subject examined: Distribution and interpolation spaces
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Fall
  • Exam form: Written (winter session)
  • Subject examined: Distribution and interpolation spaces
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks

Reference week

 MoTuWeThFr
8-9  CHA330  
9-10    
10-11  CHA330  
11-12    
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     

Wednesday, 8h - 10h: Lecture CHA330

Wednesday, 10h - 12h: Exercise, TP CHA330