MATH-502 / 5 credits

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.

## Keywords

Distributions, Sobolev Spaces, Interpolation Spaces

## 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

## Bibliography

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

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

"An Introduction to Interpolation Theory", Alessandra Lunardi.

## 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

 Mo Tu We Th Fr 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