101.334 AKANA nonlinear partial differential equations
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2022S, 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 give proof for the existence of weak solutions of different classes of nonlinear elliptic and parabolic differential equations; they are able to use maximum principles for weak solutions; furthermore the students learn how to use the theory of viscous solutions for Hamilton-Jacobi-equations and to present solutions to a group of other students.

Subject of course

- semilinear elliptic equations

- quasilinear elliptic equations

- semilinear parabolic equations

- quasilinear parabolic equations

- stationary Navier-Stokes equations

- Schroedinger equations

- Hamilton-Jacobi equations

Teaching methods

There will be videos of the lectures, live streams  and exercise classes. Students familiarize themselves with the announced lecture material on a weekly basis using the lecture notes and videos. The live streams (online in March) explain, apply, and deepen the material, and students can ask questions and discuss the topics. Exercise sheets will be handed out weekly for students to present their solutions on the blackboard.

Mode of examination

Oral

Additional information

The course will be held in hybrid mode (online, live-streams and on-site according to the situation).

Introduction (online) on Thursday 03 March 2022, 14:15-15:15h:
https://tuwien.zoom.us/j/92299427236?pwd=alE1OW8vSWFRSUdNUGY0VFdNMCtmUT09

Meeting-ID: 922 9942 7236, Passwort: Sommer2022

Lecture notes are available on the homepage:

https://www.asc.tuwien.ac.at/juengel/scripts/nPDE.pdf

 

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Thu14:00 - 16:0003.03.2022 - 09.06.2022 Sem.Raum 03C, Freihaus, 3.OG, grünProf. Jüngel AKANA Nichtlin. Diffgl.
AKANA nonlinear partial differential equations - Single appointments
DayDateTimeLocationDescription
Thu03.03.202214:00 - 16:00 Sem.Raum 03C, Freihaus, 3.OG, grünProf. Jüngel AKANA Nichtlin. Diffgl.
Thu10.03.202214:00 - 16:00 Sem.Raum 03C, Freihaus, 3.OG, grünProf. Jüngel AKANA Nichtlin. Diffgl.
Thu17.03.202214:00 - 16:00 Sem.Raum 03C, Freihaus, 3.OG, grünProf. Jüngel AKANA Nichtlin. Diffgl.
Thu24.03.202214:00 - 16:00 Sem.Raum 03C, Freihaus, 3.OG, grünProf. Jüngel AKANA Nichtlin. Diffgl.
Thu31.03.202214:00 - 16:00 Sem.Raum 03C, Freihaus, 3.OG, grünProf. Jüngel AKANA Nichtlin. Diffgl.
Thu07.04.202214:00 - 16:00 Sem.Raum 03C, Freihaus, 3.OG, grünProf. Jüngel AKANA Nichtlin. Diffgl.
Thu28.04.202214:00 - 16:00 Sem.Raum 03C, Freihaus, 3.OG, grünProf. Jüngel AKANA Nichtlin. Diffgl.
Thu05.05.202214:00 - 16:00 Sem.Raum 03C, Freihaus, 3.OG, grünProf. Jüngel AKANA Nichtlin. Diffgl.
Thu12.05.202214:00 - 16:00 Sem.Raum 03C, Freihaus, 3.OG, grünProf. Jüngel AKANA Nichtlin. Diffgl.
Thu19.05.202214:00 - 16:00 Sem.Raum 03C, Freihaus, 3.OG, grünProf. Jüngel AKANA Nichtlin. Diffgl.
Thu02.06.202214:00 - 16:00 Sem.Raum 03C, Freihaus, 3.OG, grünProf. Jüngel AKANA Nichtlin. Diffgl.
Thu09.06.202214:00 - 16:00 Sem.Raum 03C, Freihaus, 3.OG, grünProf. Jüngel AKANA Nichtlin. Diffgl.

Examination modalities

Exercises and presentation on the blackboard for UE; oral exam for VO

In case that the oral exam is offered(needs to be offered online: Two devices with camera (e.g. laptop or tablet and smartphone) are needed.

Course registration

Begin End Deregistration end
24.02.2022 00:00 13.03.2022 00:00 27.02.2022 00:00

Curricula

Literature

Lecture notes for this course are available; online auf der Homepage des Vortragenden

https://www.asc.tuwien.ac.at/juengel/scripts/nPDE.pdf

Further teaching material can be found at Tuwel.

Previous knowledge

Linear partial differential equations; functional analysis

 

Language

if required in English