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. Krein resolvent formulas. Nonsmooth boundary value problems.
Krein-like extensions (without regularity). Spectral asymptotics for problems
with jumps.
Recent publications and
preprints: publications.htm
List of earlier works: publist.pdf
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. Distribution
theory.
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 (
Fall 2004: Reel analyse og lineær algebra, Mat H1 (Copenhagen Business School). Hjemmeside for Mat H1 efterår 04
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 Hjemmeside for PDL06
Spring 2007: ModAn - Distributioner og Operatorer, Blok 3. ModAn2 - Anvendelser af Distributionsteori, Blok 4
Fall 2007: Ordinary Differential
Equations, SDL.
Spring 2008: Applied
Analysis - Parabolic Differential Equations, Anvendt Analyse - Parabolske
Differentialligninger.
Fall 2008: Introduction to
PDE, Introduktion til PDL, consultant, lectures given by Uuye Otgonbayar.
Simons professor at MSRI
September 2008, lectures Intro to Index Theory New Residue Definitions
Spring 2009: ModAn -
Distributions and Operators. Uses a book with this name, Graduate Texts in
Mathematics 252,
Lecture at Banach Center
Bedlewo May 2009 Resolvents on nonsmooth domains
Fall 2009: Ordinary
Differential Equations SDL09 sdl09.htm
Fall 2010: Differential Operators
and Function Spaces, DifFun10 Course description.htm
Lecture in Analysis
and
Lecture Sept. 2011 at
Fall 2011: Differential
Operators and Function Spaces, DifFun11 DifFun11.html
Lecture in Spectral Theory
meeting at Cardiff University May 2012 Spectral asymptotics for resolvent differences with rough
coefficients
Latest update: October 26,
2011