The first part of the course is based on the lecturer's 2015 notes on Elliptic Partial Differential Equations (elliptic.pdf).
The second part of the course is based on new material (green-[month]-[date].pdf). This file will be updated as the course proceeds.
Both parts are put together in the file pde-II-2017.pdf, which also has a table of contents.
Master's Programme in Mathematics and Statistics is responsible for the course.
The course belongs to the Mathematics and Applied mathematics module.
The course is available to students from other degree programmes.
Mitta ja integraali
The regularity theory of second-order elliptic equations with divergence structure, weak solutions and Sobolev inequalities.
Recommended time/stage of studies for completion: 1. or 2. year
Term/teaching period when the course will be offered: varying
Sobolev spaces and De Giorgi-Nash-Moser theory.
Lectures and exercise classes
Exam and excercises, Course will be graded with grades 1-5
Exam, other methods will be described later