SF2739 Partial Differential Equations 7.5 credits

The course treats first order equations. The wave equation: equation in one or several space coordinates, Huyghen’s principle. The Laplace equation: fundamental solutions, Green’s function, Dirichlet’s problem, the maximum principle, Dirichlet’s principle, introduction to Sobolev rooms. The heat eqation: initial value problem, fundamental solutions, the maximum principle.

After the course the student should be able to

• formulate central definitions and theorems within the topic of the course,
• apply and generalize theorems and methods within the topic of the course,
• describe, analyze and formulate basic proofs within the topic of the course.

Completed courses SF1683 Differential Equations and Transforms and SF1677 Foundations of Analysis.

Announced no later than 4 weeks before the start of the course on the course web page.

If the course is discontinued, students may request to be examined during the following two academic years.

• TEN1 - Examination, 7.5 credits, grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

The examiner decides, in consultation with KTHs Coordinator of students with disabilities (Funka), about any customized examination for students with documented, lasting disability. The examiner may allow another form of examination for re-examination of individual students

Hans Ringström

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.