Summer 2019 - MATH 895 G200
Reading (4)
Class Number: 1996
Delivery Method: In Person
Overview
Description
COURSE DETAILS:
This course introduces the major techniques and theorems in nonlinear functional analysis, and how these arise/are used in the analysis of nonlinear partial differential equations and their discretizations. A particular focus of the course will be on variational techniques and nonlinear monotone operators.
COURSE-LEVEL EDUCATIONAL GOALS:
Topics:
Fixed point theory: volume I
Nonlinear monotone operators: volume IIa from Nonlinear Functional Analysis, Zeidler
- strongly monotone operators (Chapter 1)
- quasilinear elliptic PDE (Chapter 2)
- Noncoercive equations, nonlinear Fredholm Alternatives (Chapter 5)
- Inner and outer approximation schemes (Chapter 7)
Variational methods: Volume III from Nonlinear Functional Analysis
- Chapters 1-8 and the generalized Kuhn-Tucker theory
Grading
NOTES:
There will be nine assignments; each assignment will be accompanied by a presentation in which students will present solutions. Eight of the nine assignments will each be worth 12.5% of the total grade (the ninth lowest will not count).
Materials
REQUIRED READING:
Zeidler, Eberhard. Nonlinear Functional Analysis Volumes i, iib, and iii.
Graduate Studies Notes:
Important dates and deadlines for graduate students are found here: http://www.sfu.ca/dean-gradstudies/current/important_dates/guidelines.html. The deadline to drop a course with a 100% refund is the end of week 2. The deadline to drop with no notation on your transcript is the end of week 3.
Registrar Notes:
SFU’s Academic Integrity web site http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.
Each student is responsible for his or her conduct as it affects the University community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s10-01.html
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS