Coursebooks

Inequalities and trace theory for Sobolev spaces

MATH-503

Lecturer(s) :

Nguyên Hoài-Minh

Language:

English

Summary

We discuss various inequalities related to the Sobolev, Poincare inequalities et the trace theory.

Content

Poincare's inequality

Sobolev's inequality. 

Gagliardo Nirenberg's inequality. 

Caffareli, Kohn, Nirenberg's inequality. 

Trace theory

Applications. 

Keywords

Inequalities, trace theory. 

Learning Prerequisites

Required courses

Analyse III + IV

Parabolic and hyperbolic PDEs

 

 

Important concepts to start the course

Sobolev spaces

Learning Outcomes

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

Teaching methods

Course + seminars

Assessment methods

Written

Supervision

Office hours No
Assistants Yes
Forum No

In the programs

    • Semester
       Spring
    • Exam form
       Written
    • Credits
      10
    • Subject examined
      Inequalities and trace theory for Sobolev spaces
    • Lecture
      4 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
    • Project
      2 Hour(s) per week x 14 weeks
    • Semester
       Spring
    • Exam form
       Written
    • Credits
      10
    • Subject examined
      Inequalities and trace theory for Sobolev spaces
    • Lecture
      4 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
    • Project
      2 Hour(s) per week x 14 weeks
    • Semester
       Spring
    • Exam form
       Written
    • Credits
      10
    • Subject examined
      Inequalities and trace theory for Sobolev spaces
    • Lecture
      4 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
    • Project
      2 Hour(s) per week x 14 weeks

Reference week

 MoTuWeThFr
8-9     
9-10     
10-11     
11-12     
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     
Under construction
 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German