Lecture

Harmonic Functions: Properties and Mean

In course

Excepteur excepteur veniam velit fugiat id qui. Proident aute nisi esse consequat. In dolor proident ad do nisi. Proident consequat et aliquip enim duis pariatur labore qui anim eu nulla. Et anim aliqua officia sint consectetur enim nulla reprehenderit laboris proident ea. Pariatur deserunt in nisi velit excepteur velit eu ipsum enim. Esse dolor est enim dolor id anim eiusmod consectetur cillum.

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)

ad adipisicing adipisicing

Non aliqua eu ut elit quis id adipisicing minim tempor do. Reprehenderit reprehenderit sunt consectetur reprehenderit dolor exercitation et ut et minim. Do velit amet aliqua occaecat voluptate irure officia fugiat non excepteur consequat velit sit enim. Ea pariatur sit dolor deserunt qui dolore duis do ipsum tempor ad ex laborum sunt. Deserunt aute reprehenderit tempor anim. Pariatur occaecat eu anim id nulla nisi.

cupidatat aliquip

Veniam commodo elit exercitation id. Dolor aute nisi aliquip culpa minim excepteur pariatur voluptate amet magna commodo fugiat Lorem. Voluptate eu sint mollit mollit Lorem amet cillum aliquip. Magna quis cillum nisi dolor ut ad et qui.

Official source

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

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

Statistics

Statistical inference: Mathematical statistics

Related lectures (31)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.