course-details-portlet

MA8105 - Non-Linear Partial Differential Equations and Sobolev Spaces

About

Examination arrangement

Examination arrangement: Oral examination
Grade: Passed/Failed

Evaluation form Weighting Duration Examination aids Grade deviation
Oral examination 100/100

Course content

The course is given every other year, next time Spring 2021, 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

Term no.: 1
Teaching semester:  SPRING 2021

No.of lecture hours: 4
No.of specialization hours: 8

Language of instruction: -

Location: Trondheim

Subject area(s)
  • Mathematics
Contact information
Course coordinator: Lecturer(s):

Department with academic responsibility
Department of Mathematical Sciences

Phone:

Examination

Examination arrangement: Oral examination

Term Status code Evaluation form Weighting Examination aids Date Time Digital exam Room *
Spring ORD Oral examination 100/100
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.
Examination

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

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