04-10-0518-vu Selected Topics in Analysis

Instructors: Prof. Dr. rer. nat. Moritz Egert

Event type: Lecture & Exercise

Org-unit: Dept. 04 - Mathematics

Displayed in timetable as: Sel Topics in Ana

Subject:

Crediting for:

Hours per week: 3

Language of instruction: Englisch

Min. | Max. participants: - | -

Digital Teaching:
Lectures will be held online in live zoom-meetings. Recordings and blackboard notes will be made available in moodle.

Please wait for an update on the problem sessions on Friday mornings. They might be held in presence.

Course Contents:
Sobolev spaces, weak solutions, existence of variational solutions, comparison principles, DeGiorgi-Nash-Moser theory, maximal functions, self-improving properties

Literature:
D. Gilbarg and N.S. Trudinger, Elliptic partial differential equations of second order, Springer 1983.

M. Giaquinta, Multiple integrals in the calculus of variations, Princeton University Press 1983.

Preconditions:
functional analysis, measure theory and integration