Elliptic operator
id:
elliptic-operator-172-184133
title:
Elliptic operator
text:
In the theory of partial differential equations, elliptic operators are differential operators that generalize the Laplace operator. They are defined by the condition that the coefficients of the highest-order derivatives be positive, which implies the key property that the principal symbol is invertible, or equivalently that there are no real characteristic directions. Elliptic operators are typical of potential theory, and they appear frequently in electrostatics and continuum mechanics. Ellip
brand slug:
wiki
category slug:
encyclopedia
description:
Type of differential operator
original url:
https://en.wikipedia.org/wiki/Elliptic_operator
date created:
2004-03-25T02:44:00Z
date modified:
2024-09-02T00:27:55Z
main entity:
{"identifier":"Q427625","url":"https://www.wikidata.org/entity/Q427625"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/c/cd/Laplace%27s_equation_on_an_annulus.svg","width":2268,"height":1134}
fields total:
13
integrity:
16