Course description

• Course content
• Learning outcome
• Admission
• Prerequisites

• Overlapping courses
• Teaching
• Examination

Course content

Understanding of the classical theory for solving partial differential equations. Basic ability in the use of Sobolev estimates.

Learning outcome

After completing this course you will:

• master classical theory of linear partial differential equations;
• have knowledge of the heat equation;
• have knowledge of the Laplace equation;
• have knowledge of the wave equation;
• have knowledge of Greens functions; 
• have knowledge of Sobolev spaces; 
• have knowledge of Poincare`s inequallities;
• be able to present, on a scientific level, a short thesis on a chosen topic of relevance, selected in collaboration with the lecturer.

Admission

PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.

If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers¡¯ schools may have specific rules for ranking applicants for courses with limited intake capacity.

PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.

Prerequisites

Recommended previous knowledge

MAT1100 ¨C Calculus, MAT1110 ¨C Calculus and Linear Algebra, MAT1120 ¨C Linear Algebra and MAT-INF1310 ¨C Ordinary differential equations (discontinued). It will be useful to have taken MAT2400 ¨C Real Analysis and INF-MAT3360 ¨C Partial differential equations (discontinued).

Overlapping courses

10 credits overlap with MAT-INF4300 ¨C Partial differential equations and Sobolev spaces I (continued)

10 credits with AIM301 and MAT-INF3300 ¨C Partial differential equations and Sobolev spaces I (discontinued).

*The information about overlaps is not complete. Contact the Department for more information if necessary.

Teaching

4 hours of lectures/exercises per week.

Examination

1 mandatory assignment.

Final written examination.

In addition, each PhD candidate is expected to give a one hour oral presentation on a topic of relevance chosen in cooperation with the lecturer. The presentation has to be approved by the lecturer for the student to be admitted to the final exam.

Examination support material

No examination support material is allowed.

Language of examination

Subjects taught in English will only offer the exam paper in English.

You may write your examination paper in Norwegian, Swedish, Danish or English.

Grading scale

Grades are awarded on a pass/fail scale. Read more about the grading system.

Explanations and appeals

• Explanation of grades and appeals

Resit an examination

Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.

Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.