Infinity Laplacian
id:
infinity-laplacian-240-13859368
title:
Infinity Laplacian
text:
In mathematics, the infinity Laplace operator is a 2nd-order partial differential operator, commonly abbreviated Δ ∞ . It is alternately defined, for a function u : R n ⟶ R of the variables x = , by or where D u denotes the gradient vector, D 2 u denotes the Hessian matrix, and ⟨ ⋅ , ⋅ ⟩ denotes the Euclidean inner product.
The first version avoids the singularity which occurs when the gradient vanishes, while the second version is homogeneous of order zero in the gradient. Verbally, the second
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https://en.wikipedia.org/wiki/Infinity_Laplacian
date created:
date modified:
2024-04-02T23:48:56Z
main entity:
{"identifier":"Q6030026","url":"https://www.wikidata.org/entity/Q6030026"}
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