Hints and tips:
  • You may need to look up some unfamiliar terms in the title or description to get more of a sense of what is involved.
  • If the project has "No" in the "Current Availability:" field, it is already taken or not being offered this academic year but may be available again in future years.
  • The supervisor name links to a contact details webpage so, if you are interested, you can arrange to discuss this project or even propose a related topic of your own.
Level: BSc, MSci, MSc
Title: The Laplace equation in 4 dimensions
Supervisor:
Research Area: Geometry and Analysis
Description:

In this project you will explore the general properties of solutions to the Laplace equation in 4 dimensions.  In particular you will explore the means property of this equation and the so-called principle of the maximum.

Further Reading:

  • L. C. Evans, Partial Differential Equations. Graduate Studies in Mathematics, Vol. 19,  American Mathematical Society, 1998.
[This book is available in the QMUL library.]
Key Modules:
Other Information:
Current Availability: Yes