Ruprecht-Karls-Universität Heidelberg

Institut für
Angewandte Mathematik

Prof. Dr. Claus Gerhardt

Anschrift:
Institut für Angewandte Mathematik
Im Neuenheimer Feld 294
D-69120 Heidelberg

Tel. + 49 (0) 62 21 - 54 62 79
Tel. + 49 (0) 62 21 - 54 57 76 (Sekretariat)
Fax + 49 (0) 62 21 - 54 53 31
email: gerhardt@math.uni-heidelberg.de

Lecture Notes

Below are a few lecture notes of mine, either scanned pdf images of handwritten notes or pdflatex produced files, that are mainly aimed at my students. The notes are either in German or in English, those written in German are marked as such.

Abstract eigenvalue problems with applications to the eigenfunctions of the Laplace operator in compact manifolds, especially the sphere, spherical harmonics. (German, pdf)

Closed, immersed, umbilic hypersurfaces in Euclidean space are spheres. (pdf)

Short time existence of parabolic fully nonlinear equations with Dirichlet boundary conditions. (German, pdf)

Short time existence of parabolic fully nonlinear equations with Neumann boundary conditions. (German, pdf)

Application of the De Giorgi-Nash estimates to non-linear equations (German, pdf)

Existence theorems for quasilinear elliptic equations (German, pdf)

Smoothness of Lipschitz solutions of quasilinear elliptic equations (pdf)

BV-functions (German, pdf)

Trace and extension theorems for BV-functions (pdf)

An introduction to general topology (German, pdf)

PDE I (pdf)

PDE II (pdf)

Distributions and singular integrals (German, pdf)

Analysis I (German, pdf)

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