Sur une nouvelle méthode pour la resolution du problème de Dirichlet

treatise by Fredholm

Written by

The Information Architects of Encyclopaedia Britannica

Last updated

July 14, 2026

Quick Summary

In 1900, Swedish mathematician Ivar Fredholm published "Sur une nouvelle méthode pour la résolution du problème de Dirichlet" ("On a New Method for the Resolution of Dirichlet's Problem"). This treatise introduced Fredholm integral equations, a foundational element of modern integral equation theory.1

The Dirichlet problem, named after mathematician Peter Gustav Lejeune Dirichlet, involves solving partial differential equations related to heat, electricity, and fluid flow. A common example is determining the temperature distribution within a disk based on boundary measurements, where the internal temperature must satisfy Laplace's equation. Fredholm's work provided a novel approach to solving such problems.21

Summary created from Britannica articles using AI. AI can make mistakes, so verify using Britannica articles.

2 Britannica Sources

Ask Britannica AI about this topic

Britannica doesn't have a full article on this topic, so we've curated a list of our relevant coverage.

Ivar Fredholm
…appeared in 1900 entitled “Sur une nouvelle méthode pour la résolution du problème de Dirichlet” (“On a New Method for the Resolution of Dirichlet’s Problem”), Fredholm developed the essential parts of what is now known as Fredholm integral equations.
Read More
…appeared in 1900 entitled “Sur une nouvelle méthode pour la résolution du problème de Dirichlet” (“On a New Method for the Resolution of Dirichlet’s Problem”), Fredholm developed the essential parts of what is now known as Fredholm integral equations.
Read More