MATP36 Partial Differential Equations, 7.5 credits, is an alternative-compulsory course for a Master of Science degree in mathematics. The course can be taken as an stand-alone course. The course is given at half study pace during the second half of the spring semester every other year (even years). The language of instruction is English.

Course Content
The course covers the method of characteristics and nonlinear equations of the first order; the Cauchy-Kowalevski theorem; Laplace's equation, the wave equation and the heat equation; Sobolev spaces; existence, uniqueness and regularity for weak solutions to linear second order elliptic, parabolic and hyperbolic equations; maximum principles for elliptic and parabolic equations.

Teaching
The teaching consists of lectures and seminars.

Assessment
The course is assessed through a written and an oral examination. The oral examination may only be taken by those students who pass the written examination.

Course Literature

Main book: Lawrence C. Evans, Partial Differential Equations, 2nd edition, 2010, ISBN: 978-0821849743.
Supplemental: Gerald Teschl, Partial Differential Equations and Erik Wahlén, Fourier methods for PDE

Official Course Description

Course Evaluation
Link to course evaluations on the department's website:

Course Evaluations, Mathematics at Faculty of Science