MATS424 Viscosity Theory (4-9 cr)
Grading scale
0-5
Teaching languages
Finnish
,
English
Responsible person(s)
Tero Kilpel盲inen
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
Study methods
Returned exercises
Content
Definition of a viscosity solution, comparison principle and uniqueness, existence of a solution, regularity results, applications to control theory.
Materials
Lecture note
Literature:
| ISBN-number | Author, year of publication, title, publisher |
|---|---|
| Koike: Beginners guide to the theory of viscosity solutions | |
| Caffarelli, Cabre: Fully nonlinear elliptic equations | |
| Evans: Partial differential equations |
Prerequisites
MATS230 Partial differential equations