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401-4355-70L 8 Credits DR , MSC D-MATH

Elliptic Regularity Theory

Lecturers & Examiners: Prof. em. Dr. Michael Struwe
VVZ CR n/a

Last Updated: 2026-02-05 15:34:47

Abstract

We extend the theory developed in Functional Analysis II in various directions, including variants of the maximum principle, Harnack's inequality, L^p-theory, and systems. Certain limit cases will be discussed. Examples, including the harmonic map system, will illustrate the use of these methods.

Resources

Literature

Giaquinta, Mariano: Introduction to regularity theory for nonlinear elliptic systems. Lectures in Mathematics ETH Zürich. Birkhäuser Verlag, Basel, 1993. Gilbarg, David; Trudinger, Neil S.: Elliptic partial differential equations of second order. Springer-Verlag, Berlin, 2001. Further references will be given in the lectures.

General Information

Language
English
Levels
DR , MSC

Examination

Type
session examination
Mode
oral 30 minutes

Course Components

Type Title Time & Place Hours
lecture Elliptic Regularity Theory
"Hybrid" No class on 8 October 2020. Online for all students as of November 2020. No class on 5 November 2020.
  • Mon 10:15-12:00 (HG G 43)
  • Thu 10:15-12:00 (HG G 43)
4 h weekly

Offered In

  • Mathematics Master
    • Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 15 of the required 28 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
  • Doctoral Department of Mathematics (More Information at: The list of courses (together with the allocated credit points) eligible for doctoral students is published each semester in the newsletter of the ZGSM. WARNING: Do not mistake ECTS credits for credit points for doctoral studies!)