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

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
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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

No published teaching