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Tutorial Course
2015 NCTS/CMMSC Lectures on the Laplacian

Speaker Professor Augusto Ponce
Affiliation Catholic University at Louvain, Belgium
Date 2015-09-17
Time 2015-09-17
13:20-15:10

2015-09-23
13:20-14:10

2015-09-24
13:20-15:10
Venue SA212
Abstract In this series of lectures, we will develop some properties of the very first model of an elliptic partial differential operator: the Laplacian.

In particular, we will discuss
- harmonic functions
- Poisson equation and Newtonian potential
- mean value formula
- Liouville's theorem
- maximum principles
- Schwarz's removable singularity principle

The lectures will be accessible to graduate students (Master's level).
 


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