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MA8105

Non-Linear Partial Differential Equations and Sobolev Spaces

Choose study year
Credits 7.5
Level Doctoral degree level
Course start Spring 2025
Duration 1 semester
Examination arrangement Oral examination

About

About the course

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".

Course materials

Will be given at the beginning of the semester.

Subject areas

  • Mathematics

Contact information

Course coordinator

Department with academic responsibility

Department of Mathematical Sciences