MATS424 Viscosity Theory (5–9 cr)
Study level:
Advanced studies
Grading scale:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023
Description
Definition of a viscosity solution, comparison principle and uniqueness, existence of a solution, regularity results.
Learning outcomes
Student
- knows the definition of the viscosity solution
- recognizes to which partial differential equations the theory applies
- knows central existence, uniqueness, and regularity results and techniques and can apply these in the example problems
Description of prerequisites
MATS230 Partial differential equations
Recommended prerequisites
- Prerequisite group 1
Study materials
Lecture notes
Literature
- Evans: Partial differential equations
- Koike: Beginners guide to the theory of viscosity solutions
- Caffarelli, Cabre: Fully nonlinear elliptic equations
Completion methods
Method 1
Evaluation criteria:
Grade is based on the points from returned exercises.
Select all marked parts
Parts of the completion methods
x
Participation in teaching (5–9 cr)
Type:
Participation in teaching
Grading scale:
0-5
Evaluation criteria:
Grade is based on the points from returned exercises.
Language:
English, Finnish
Study methods:
Lectures and homework
Study materials:
Lecture note