Habilitationsschrift von Daniel Grieser

Titel: Probleme der singulären Analysis
 

 Titelblatt
 Ausführliche Einleitung (deutsch, englisch)

 Folgende (inzwischen veröffentlichte) Arbeiten sind Teil der Habilitation:

• Asymptotics of the first nodal line of a convex domain, Inventiones Math. 125 (1996), 197-219 (with D. Jerison).
• The size of the first eigenfunction of a convex planar domain, Journal of the AMS 11 (1998), 41-72 (with D. Jerison).
• Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes, Comm. Math. Physics 214 (2000), 315-337 (with S. Chanillo and K. Kurata - on the theory, and M. Imai and I. Ohnishi - on the numerics).
• The free boundary problem in the optimization of composite membranes, in: Differential Geometric Methods in the Control of Partial Differential Equations, R. Gulliver et al. (eds), Cont. Math. 268 (2000), 61-81 (with S. Chanillo and K. Kurata).
• Basics of the b-calculus, in J.B.Gil et al. (eds.), Approaches to Singular Analysis, 30-84, Operator Theory: Advances and Applications, 125. Advances in Partial Differential Equations, Birkhäuser, Basel, 2001.
• Singular asymptotics lemma and Push-forward theorem, in J.B.Gil et al. (eds.), Approaches to Singular Analysis, 117-130, Operator Theory: Advances and Applications, 125. Advances in Partial Differential Equations, Birkhäuser, Basel, 2001 (with M. Gruber).
• Quasiisometry of singular metrics, Houston J. Math 28 (2002), 741-752.
• Local geometry of singular real analytic surfaces, Trans. Amer. Math. Soc. 355 (2003), 1559-1577. (http://www.ams.org/tran/2003-355-04/)

Der Titel meines Habilitationsvortrages lautete: 'Der 4-Farben-Satz:  Geschichte und neue Zugänge'
Hier sind die  Folien  (die von Hand nachgetragenen Bilder fehlen leider)