course-details-portlet

MA8105 - Non-Linear Partial Differential Equations and Sobolev Spaces

About

Lessons are not given in the academic year 2021/2022

Course content

The course is given every other year, next time Spring 2023, assuming enough students register for the course. If too few students register, the course will be given as "ledet selvstudium". 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.

Course materials

Will be given at the beginning of the semester.

More on the course
Facts

Version: 1
Credits:  7.5 SP
Study level: Doctoral degree level

Coursework

No

Language of instruction: -

Location: Trondheim

Subject area(s)
  • Mathematics
Contact information

Department with academic responsibility
Department of Mathematical Sciences

Examination

  • * 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.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

More on examinations at NTNU