Harmonic Functions: Properties and Mean

In course

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Description

This lecture covers the properties of harmonic functions, focusing on the mean value property and the maximum principle. It explains the mean value property in a regular domain, demonstrating that a harmonic function is constant. Additionally, it discusses the maximum principle, showing that a harmonic function cannot reach its maximum at a point.

Instructors (2)

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Official source

https://mediaspace.epfl.ch/media/0_m1x0gssp

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

Statistics

Statistical inference: Mathematical statistics

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