Gerd Grubb
Professor, dr.phil. et h.c.
Department of Mathematical SciencesUniversity of Copenhagen
Universitetsparken 5
DK-2100 København Ø
Phone: (+45) 35320743
Fax: (+45) 35320704
E-mail: grubb@math.ku.dk
Home address: Duevej 26, 6.
sal, 2000 Frederiksberg, Denmark.
Current research areas:
Pseudodifferential calculi,
for manifolds with boundary and with spectral parameters. Geometric analysis.
Asymptotic trace expansions of parameter-dependent operators, the geometric
interpretation of the coefficients. The logarithmic and nonlocal terms. The
noncommutative residue and the canonical trace. The zeta coefficients. Spectral
boundary conditions in Brane theory. Applications of pseudodifferential methods
to Navier-Stokes problems. Extension theory and boundary problems for elliptic
operators.
Recent publications and preprints. (link temporarily removed, go
instead to) publications.htm
Pictures (by Peter Gilkey)
from the meeting “Spectral Theory and Partial Differential Equations” November
19-21 2008: nov08
Teaching:
Basic courses in
Mathematical Analysis. Basic and advanced courses in Ordinary and Partial
Differential Equations, Functional Analysis, Pseudodifferential Operators.
Calculus of Variations and Optimal Control Theory. Wavelets
Advanced courses:
Fall 1999: Applications of
the Fourier transform. (Based on X. Saint Raymond: Elementary introduction to
the theory of pseudodifferential operators.)
Spring 2000: Solution of
PDE. (Same book.)
Fall 2000: Introduction to
Partial Differential Equations. (Based on L. C. Evans: Partial Differential Equations,
AMS 1999.) Kursushjemmeside
Spring 2001: 1)
Distribution Theory. 2) Continuation of PDE course . Hjemmeside for evolutionskursus
Fall 2001: 1) Mat 3GT. Hjemmeside for Mat 3GT 2) Wavelets. Hjemmeside for Wavelets 3) Seminar: Analysis on manifolds. Hjemmeside for Manifolds
Fall 2002: Grundkursus i partielle differentialligninger Hjemmeside for PDL02
Spring 2003: Modern Analysis - Distributions and Operators. Hjemmeside for distributionskursus.
Fall 2003/ Spring 2004: Reel analyse og lineær algebra, Mat H1 (Copenhagen Business School). Hjemmeside for Mat H1 efterår 03
Fall 2004: Reel analyse og
lineær algebra, Mat H1 (
Spring 2005: PDL - Elliptiske problemer Hjemmeside:pdlep Lectures in Noncommutative Geometry Seminar ncg05.pdf
Fall 2005: SDL - Sædvanlige
Differential Ligninger http://www.math.ku.dk/kurser/2005-06/blok1/sdl/
Spring 2006: ModAn - Distributions and Operators. Hjemmeside.
Fall 2006: Introduktion til PDL
Fall 2007: Ordinary Differential
Equations, SDL.
Fall
2008: Introduction to PDE, Introduktion til PDL, consultant, lectures given by
Uuye Otgonbar.
Simons
professor at MSRI September 2008, lectures Intro to Index Theory , New Residue Definitions
Lecture at
Banach Center Bedlewo May 2009 Resolvents on nonsmooth domains
Fall 2009: Ordinary
Differential Equations SDL09 sdl09.htm