MATS424 Viscosity Theory (4–9 cr)
Study level:
Advanced studies
Grading scale:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2017-2018, 2018-2019, 2019-2020
Description
Content
Definition of a viscosity solution, comparison principle and uniqueness, existence of a solution, regularity results, applications to control theory.
Completion methods
Returned exercises
Learning outcomes
After taking the course a student:
-knows the definition of the viscosity solution
-recognizes partial differential equations to which the theory is applicable
-knows applicable existence, uniqueness and regularity techniques
-can employ the above techniques
-knows simple applications to control theory
-knows the definition of the viscosity solution
-recognizes partial differential equations to which the theory is applicable
-knows applicable existence, uniqueness and regularity techniques
-can employ the above techniques
-knows simple applications to control theory
Description of prerequisites
MATS230 Partial differential equations
Study materials
Lecture note
Literature
- Evans: Partial differential equations
- Koike: Beginners guide to the theory of viscosity solutions
- Caffarelli, Cabre: Fully nonlinear elliptic equations
Completion methods
Method 1
Select all marked parts
Parts of the completion methods
x
Teaching (4–9 cr)
Type:
Participation in teaching
Grading scale:
0-5
Language:
English, Finnish