MATS424 Viscosity Theory (5–9 cr)

Study level:
Advanced studies
Grading scale:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023, 2023-2024


Definition of a viscosity solution, comparison principle and uniqueness, existence of a solution, regularity results.

Learning outcomes


  • 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

Study materials

Lecture notes


  • 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
Unpublished assessment item