Gerd
Grubb
Professor, dr.phil. et h.c.
Department of Mathematical SciencesUniversity of Copenhagen
Universitetsparken 5
DK-2100 København Ø
Denmark
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. Fractional Laplacians, heat kernels, regularity properties on a
domain.
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
Pictures from a visit to
Japan February 2014 japan14
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 (Copenhagen Business School). Hjemmeside for Mat H1 efterår 03
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, Springer-Verlag, New York 2009.
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 Geometry Seminar Copenhagen University February 2011 Extension theory for nonsmooth boundary problems
Lecture Sept. 2011 at
Imperial College, London Resolvent
differences and their spectral estimates
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
Lecture August 2012 at
Spectral Theory - Differential Operators meeting at Graz University Eigenvalue asymptotics for nonsmooth
singular Green operators
Exaugural lecture at IMF November 2012 Encounters with Spectral
Theory
Some pictures from the
occasion (unfortunately the organized cameras didn’t work, so most of the
reception was not covered) nov12
Memorial lecture at the 26th
Nordic and 1st Nordic-European Congress June 2013 Boundary Problems
Lecture
September 2013 in Elliptic-Parabolic Workshop at Hannover University Heat kernels.pdf
Lecture April 2014 in
Spectral Theory Workshop at University of Kent Fractional.pdf
Lecture June 20, 2014, in
the Geometry and Analysis Seminar at Copenhagen University cph14k.pdf
Pictures from reception and
dinner at the workshop Spectral Theory and Boundary Problems August 2014 pict0814
Colloquium
November 19, 2014, at Lund University mu-transmission.pdf
Lecture January 2015 at Oberwolfach Workshop
“Spectral Theory and Weyl Functions” MixedFrac15.pdf
Lecture
September 2015 in the Geometry Seminar at Stanford University Integration-by-partsFrac.pdf
Minicourse
at Magdeburg University March 2016 magde16k.pdf
Lecture
May 2016 at doctors-promotion Lund University dokt16k.pdf
Lecture October 2016 at birthday conference
for Elmar Schrohe, Hannover
University hanno16k.pdf
Latest update: April 29,
2016