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[ 201FUANSOSV24 ] VL Sobolev spaces
Versionsauswahl
Workload Education level Study areas Responsible person Hours per week Coordinating university
3 ECTS B3 - Bachelor's programme 3. year Mathematics Paul Müller 2 hpw Johannes Kepler University Linz
Detailed information
Original study plan Bachelor's programme Technical Mathematics 2025W
Learning Outcomes
Competences
Mastering the theory of Sobolev spaces and some of its most important applications to the direct methods of Calculus of Variations.
Skills Knowledge
  • Being able to prove the main results for Sobolev spaces (approximation, trace, extension)
  • Knowing and being able to prove the main inequalities (Sobolev, Morrey, Poincare, Trudinger, Friedrichs)
  • Understanding the main existence theorems for weak solutions in Sobolev spaces
  • Being able to establish connections to the direct methods of variational calculus
Approximation theorems, trace theorems, extension theorems for Sobolev spaces. Sobolev inequalities, Morrey inequality, Poincare inequality, Friedrichs inequality
Criteria for evaluation
Language English and French
Changing subject? No
Earlier variants They also cover the requirements of the curriculum (from - to)
TM1WKVOSOBO: VO Sobolev Spaces (2001S-2024S)
On-site course
Maximum number of participants -
Assignment procedure Direct assignment