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401-3462-00L 10 Credits BSC , MSC D-PHYS , D-MATH
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Functional Analysis II

Lecturers & Examiners: Dr. Peter Hintz
VVZ CR n/a

Last Updated: 2026-02-05 16:22:40

Abstract

Sobolev spaces, weak solutions of elliptic boundary value problems, basic results in elliptic regularity theory (including Schauder estimates), maximum principles. Basic results for hyperbolic PDE.

Objective

Acquire fluency with Sobolev spaces and weak derivatives on the one hand, and basic elliptic regularity on the other. Apply these methods to the study of elliptic boundary value problems, and to initial value problems for hyperbolic PDE.

Resources

Literature

Haim Brezis. Functional analysis, Sobolev spaces and partial differential equations. Universitext. Springer, New York, 2011. David Gilbarg, Neil Trudinger. Elliptic partial differential equations of second order. Classics in Mathematics. Springer, Berlin, 2001. Michael Taylor. Partial differential equations I. Basic theory. Second edition. Applied Mathematical Sciences, 115. Springer, New York, 2011. Lars Hörmander. The analysis of linear partial differential operators. I. Distribution theory and Fourier analysis. Classics in Mathematics. Springer, Berlin, 2003. Qing Han, Fanghua Lin. Elliptic partial differential equations. Second edition. Courant Lecture Notes in Mathematics, 1. Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI, 2011.

General Information

Language
English
Levels
BSC , MSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 30 minutes

Course Components

Type Title Time & Place Hours
lecture Functional Analysis II
  • Mon 10:15-12:00 (CAB G 51)
  • Thu 14:15-16:00 (CAB G 61)
4 h weekly
exercise Functional Analysis II
Groups are selected in myStudies.
  • Mon 09:15-10:00 (HG E 33.3)
  • Mon 09:15-10:00 (HG F 26.5)
1 h weekly

Offered In