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

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
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Unpublished assessment item