Tentative
Schedule:
February
6: arrival, February 7-14: lectures, February 15: departure
Topics:
Examples
of equations with strong singularities- motivation; Review of distribution
theory; Special Colombeau algebra,
Fourier analysis; Differential geometry-smooth manifolds; Flows and vector fields; Method of
characteristics; Semilinear wave equation; Distributions on manifolds; Singular
support, wave front set, characteristics; Colombeau algebra on manifolds; Symmetries
of differential equations; Full algebra; Hoelder and Zigmund regularity;
Applications in general relativity.
Exercises
will follow the lectures.
List
of lectureres:
Michael
Grosser
(University of Vienna)
Michael
Oberguggenber
(University of Innsbruck)
Guenther
Hoermann
(University of Innsbruck)
Michael
Kunzinger
(University of Vienna)
Roland
Steinbauer
(University of Vienna)}
S.
Pilipović, M. Nedeljkov, Novi Sad
(pilipovic@im.ns.ac.yu, marko@im.ns.ac.yu)