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Nonlinear Analysis and Perturbation Methods
Last Updated: 2026-02-05 16:29:40
Abstract
In this class, we will cover some of the most widely used techniques for tackling nonlinear problems in analysis, specifically in the context of partial differential equations (PDEs). We will explore variational methods, with an emphasis on the min-max technique, perturbation methods, and topological methods such as degree theory.
Objective
The goal of the course is to deepen understanding of the theory of nonlinear PDEs from the perspective of the existence of solutions. We will delve into how functional analysis tools enable us to construct solutions that are not necessarily minimising or variational in nature.
Resources
Learning Materials (Links)
- Main link
- Information
General Information
- Language
- English
- Levels
- DR , MSC
Examination
- Type
- session examination
- Mode
- oral 20 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Nonlinear Analysis and Perturbation Methods |
|
2 h weekly |
Offered In
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Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 14 of the required 26 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
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Doctorate Mathematics (More Information at: )
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Subject Specialisation (The list of courses eligible for doctoral students is published each semester in the newsletter of the ZGSM.)
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Graduate School (Official website of the Zurich Graduate School in Mathematics: )
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