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101.325 Variational Calculus
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2023S, VO, 3.0h, 4.5EC
TUWEL

Properties

  • Semester hours: 3.0
  • Credits: 4.5
  • Type: VO Lecture
  • Format: Hybrid

Learning outcomes

After successful completion of the course, students are able to analyze or "solve" typical problems in calculus of variations. Moreover, they will know techniques from Gamma-convergence, homogenization and Young measures.

Subject of course

classical examples (catenary curve, minimal surfaces), Euler-Lagrange equation, classical solution theory (via differential equations, "indirect method"), existence and uniqueness theory ("direct solution method", Tonelli's program), constrained problems, obstacle problems, variational inequalities, non-convex functionals, saddle point problems

Teaching methods

Presentation of lecture contents on the blackboard, in particular cases online live by Zoom.

Mode of examination

Oral

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Mon10:00 - 12:0006.03.2023 - 26.06.2023Sem.R. DA grün 06B Prof. Jüngel
Tue10:00 - 12:0007.03.2023 - 27.06.2023Sem.R. DA grün 04 Prof. Jüngel
Variational Calculus - Single appointments
DayDateTimeLocationDescription
Mon06.03.202310:00 - 12:00Sem.R. DA grün 06B Prof. Jüngel
Tue07.03.202310:00 - 12:00Sem.R. DA grün 04 Prof. Jüngel
Mon13.03.202310:00 - 12:00Sem.R. DA grün 06B Prof. Jüngel
Tue14.03.202310:00 - 12:00Sem.R. DA grün 04 Prof. Jüngel
Mon20.03.202310:00 - 12:00Sem.R. DA grün 06B Prof. Jüngel
Tue21.03.202310:00 - 12:00Sem.R. DA grün 04 Prof. Jüngel
Mon27.03.202310:00 - 12:00Sem.R. DA grün 06B Prof. Jüngel
Tue28.03.202310:00 - 12:00Sem.R. DA grün 04 Prof. Jüngel
Mon17.04.202310:00 - 12:00Sem.R. DA grün 06B Prof. Jüngel
Tue18.04.202310:00 - 12:00Sem.R. DA grün 04 Prof. Jüngel
Mon24.04.202310:00 - 12:00Sem.R. DA grün 06B Prof. Jüngel
Tue25.04.202310:00 - 12:00Sem.R. DA grün 04 Prof. Jüngel
Tue02.05.202310:00 - 12:00Sem.R. DA grün 04 Prof. Jüngel
Mon08.05.202310:00 - 12:00Sem.R. DA grün 06B Prof. Jüngel
Tue09.05.202310:00 - 12:00Sem.R. DA grün 04 Prof. Jüngel
Mon15.05.202310:00 - 12:00Sem.R. DA grün 06B Prof. Jüngel
Tue16.05.202310:00 - 12:00Sem.R. DA grün 04 Prof. Jüngel
Mon22.05.202310:00 - 12:00Sem.R. DA grün 06B Prof. Jüngel
Tue23.05.202310:00 - 12:00Sem.R. DA grün 04 Prof. Jüngel
Mon05.06.202310:00 - 12:00Sem.R. DA grün 06B Prof. Jüngel

Examination modalities

final oral exam (about 30-40')

Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Tue10:00 - 11:4526.11.2024 Office of Prof. Jüngel DA 03 L04oral04.11.2024 00:00 - 22.11.2024 23:59on instituteProf. Jüngel
Mon14:00 - 15:4502.12.2024 Office of Prof. Jüngel DA 03 L04oral11.11.2024 00:00 - 29.11.2024 23:59on instituteProf. Jüngel
Thu10:00 - 12:0509.01.2025 Prof. Jüngel's officeoral17.12.2024 00:00 - 07.01.2025 23:59on instituteProf. Jüngel
Tue10:40 - 11:4011.03.2025 Dienstzimmer Prof. Jüngeloral30.01.2025 00:00 - 07.03.2025 12:00on instituteProf. Jüngel
Tue09:30 - 11:3017.06.2025 Zoom; Exam registration by mail to: nina.haberle@asc.tuwien.ac.atoral26.05.2025 10:50 - 13.06.2025 00:00on instituteProf. Jüngel

Course registration

Not necessary

Curricula

Study CodeObligationSemesterPrecon.Info
066 394 Technical Mathematics Mandatory
860 GW Optional Courses - Technical Mathematics Not specified

Literature

Lecture notes for this course are available. lecture notes see:

http://www.math.tuwien.ac.at/~arnold/lehre/index.html and Tuwel

Previous knowledge

partial differential equations, functional analysis

Language

German