Nonlinear functional analysis
Additional Info
- ECTS credits: 10
- University: Leibniz University Hannover
- Semester: 3
- Lecturer 1: Johannes Lankeit
- Lecturer 2: Christoph Walker
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Objectives:
Nonlinear Functional Analysis offers a framework to formulate various
problems as nonlinear operator equations in infinite-dimensional Banach spaces.
In this lecture some of the solving methods are presented and applied. -
Topics:
Implicit function theorem
The degrees of Brouwer and Leray-Schauder
Local and global bifurcation methods
Theory of maximal monotone operators
Applications, e.g. to structured population dynamics
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