Talk
IMPRS-Ringvorlesung: Winter semester 2017/2018
- Benjamin Gess
- László Székelyhidi
- Felix Otto
Abstract
About this lecture
Due to the rather broad spectrum of topics within the IMPRS, the curriculum consists of a core curriculum to be attended by all students and a variety of more specialized lectures and courses. The heart of our teaching program certainly is the Ringvorlesung. Each semester the Ringvorlesung focuses on one field and is usually delivered by scientific members of the IMPRS who introduce different approaches and visions within this field.
Schedule
- Benjamin Gess: Scalar conservation laws (5 lectures, 12.10. - 09.11.)
- László Székelyhidi: Basic properties of harmonic functions (5 lectures, 16.11. - 14.12.)
- Felix Otto: Regularity theory for elliptic equations (04.01. - 01.02.)
References
- Evans: Partial differential equations, Chapter 3.4
- Perthame: Kinetic formulation of conservation laws, Chapter 3
- Evans: Partial differential equations, Chapter 3.2
- Krylov: Lectures on elliptic and parabolic equations in Hoelder spaces, Chapter 3
Date and time info
Thursday 09:00 - 11:00
Keywords
- Gess: shocks, entropy solutions, Lax-Oleinik formula, kinetic solutions
- Székelyhidi: mean value property, maximum principle, unique continuation, Dirichlet principle
- Otto: Lp-theory (Calderon-Zygmund theory), Cα-theory (Schauder theory)
Prerequisites
Basic analysis (Lebesgue integration, Lebesgue spaces, Gauss’s theorem etc.), characteristics
Audience
MSc students, PhD students, Postdocs
Language
English
Links
- B. Gess I, Video (1080p)
- B. Gess I, Video (720p)
- B. Gess II, Video (1080p)
- B. Gess II, Video (720p)
- B. Gess III, Video (1080p)
- B. Gess III, Video (720p)
- B. Gess IV, Video (1080p)
- B. Gess IV, Video (720p)
- B. Gess V, Video (1080p)
- B. Gess V, Video (720p)
- L. Székelyhidi I, Video (1080p)
- L. Székelyhidi I, Video (720p)
- L. Székelyhidi II, Video (1080p)
- L. Székelyhidi II, Video (720p)
- L. Székelyhidi III, Video (1080p)
- L. Székelyhidi III, Video (720p)
- L. Székelyhidi IV, Video (1080p)
- L. Székelyhidi IV, Video (1080p)
- L. Székelyhidi V, Video (1080p)
- L. Székelyhidi V, Video (720p)
- F. Otto I, Video (1080p)
- F. Otto I, Video (720p)
- F. Otto II, Video (1080p)
- F. Otto II, Video (720p)
- F. Otto III, Video (1080p)
- F. Otto III, Video (720p)
- F. Otto IV, Video (1080p)
- F. Otto IV, Video (720p)
- F. Otto V, Video (1080p)
- F. Otto V, Video (720p)
