LEARNING OUTCOMES
After this course a student will know the existence and regularity theory of weak solutions to elliptic partial differential equations.
Credits: 5 - 10
Schedule: 01.08.2024 - 31.07.2025
Teacher in charge (valid for whole curriculum period):
Teacher in charge (applies in this implementation): Juha Kinnunen
Contact information for the course (applies in this implementation):
CEFR level (valid for whole curriculum period):
Language of instruction and studies (applies in this implementation):
Teaching language: English. Languages of study attainment: English
CONTENT, ASSESSMENT AND WORKLOAD
Content
valid for whole curriculum period:
Weak solutions, existence results, regularity theory, local Hölder continuity of a weak solution, Harnack estimates, gradient estimates. Additional material is discussed case by case.
Assessment Methods and Criteria
valid for whole curriculum period:
Homework assignments and attendance (100%).
Workload
valid for whole curriculum period:
There are no regular lectures in the course. Study methods: self-study and homework assingments (at least 100 h), meetings with a group or a teaching assistant (24 h), meetings with the instructor (12 h).
DETAILS
Study Material
valid for whole curriculum period:
The lecture notes and homework assignments are available on the course homepage.
Substitutes for Courses
valid for whole curriculum period:
Prerequisites
valid for whole curriculum period:
SDG: Sustainable Development Goals
4 Quality Education
FURTHER INFORMATION
Further Information
valid for whole curriculum period:
Teaching Language: English
Teaching Period: 2024-2025 Autumn I - Spring V
2025-2026 Autumn I - Spring VRegistration:
Registration takes place in Sisu (sisu.aalto.fi). Participants are asked to contact the responsible teacher before registering. The course can be taken individually or as a group. The course can be started anytime and the schedule is discussed case by case.