Dirichlet form
id:
dirichlet-form-282-3322264
title:
Dirichlet form
text:
In potential theory and functional analysis, Dirichlet forms generalize the Laplacian. Dirichlet forms can be defined on any measure space, without the need for mentioning partial derivatives. This allows mathematicians to study the Laplace equation and heat equation on spaces that are not manifolds, for example, fractals. The benefit on these spaces is that one can do this without needing a gradient operator, and in particular, one can even weakly define a "Laplacian" in this manner if starting
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Dirichlet_form
date created:
date modified:
2023-11-07T11:54:34Z
main entity:
{"identifier":"Q5280765","url":"https://www.wikidata.org/entity/Q5280765"}
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13
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13