Course - Non-Linear Partial Differential Equations and Sobolev Spaces - MA8105
MA8105 - Non-Linear Partial Differential Equations and Sobolev Spaces
About
Examination arrangement
Examination arrangement: Oral examination
Grade: Passed / Not Passed
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Oral examination | 100/100 | E |
Course content
The course gives an introduction to mathematical methods and structures that are fundamental for the study of partial differential equations, calculus of variations, etc. Furthermore, the course is useful for a rigorous understanding of numerical analysis. The following topics are covered: Distribution theory, Sobolov spaces, functional analysis, compactness arguments, and error estimates. Selected topics.
Learning outcome
1. Knowledge. The course covers basic methods and structures fundamental for the study of partial differential equations, calculus of variations, etc. Furthermore, the course is useful for a rigorous understanding of numerical analysis. The following topics are covered: Distribution theory, Sobolev spaces, functional analysis, compactness arguments, and error estimates. 2. Skills. The students are familiar with the theory of distributions and Sobolev spaces and able to use these techniques in various problems in differential equations, functional analysis and applied disciplines. 3. Competence. The students should be able to participate in scientific discussions and conduct researches on high international level in the theory of distributions and Sobolev spaces and their applications to various areas of Mathematics.
Learning methods and activities
Lectures, possibly guided self-study.
The course is given every other year, next time Spring 2025, assuming enough students register for the course. If too few students register, the course will be given as "ledet selvstudium".
Recommended previous knowledge
The course assumes prior knowledge in real analysis (Lebesgue's integration theory), and it is an advantage with some background in partial differential equations.
Course materials
Will be given at the beginning of the semester.
Version: 1
Credits:
7.5 SP
Study level: Doctoral degree level
Term no.: 1
Teaching semester: SPRING 2025
Language of instruction: -
Location: Trondheim
- Mathematics
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Oral examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD Oral examination 100/100 E
-
Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"