Many modern results in Applied Mathematics such as the convergence analysis of numerical methods or the analysis of partial differential equations modeling real world processes rely on nonlinear functional analysis. After successful completion of this course, students will know methods and corresponding theoretical results on nonlinear functional analysis. They will understand and will be able to prove these theorems and will be able to apply these methods.

lecture

analysis in Banach spacesfixed point theoremstheory of monotone operators

         Gerald Teschl, University of Vienna, Topics in Real and Functional Analysis, Graduate Studies in Mathematics, Volume XXX, Amer. Math. Soc., Providence, (to appear).Link auf weitere Informationenhttps://www.mat.univie.ac.at/~gerald/ftp/book-fa/

Oral exam (approx. 30-45 minutes).The first offered exam date is Friday, June 28.Other than this, you can make an individual appointment for your exam (please just write me an email approximately 3 weeks before the intended date).

contents of the lecture

The assessment of the oral exam relies onknowledge of the methods, definitions and results;good explanation of the correspoding proofs and derivations.