Hessian equation
id:
hessian-equation-319-10667655
title:
Hessian equation
text:
In mathematics, k-Hessian equations are partial differential equations (PDEs) based on the Hessian matrix. More specifically, a Hessian equation is the k-trace, or the kth elementary symmetric polynomial of eigenvalues of the Hessian matrix. When k ≥ 2, the k-Hessian equation is a fully nonlinear partial differential equation. It can be written as S k [ u ] = f , where 1 ⩽ k ⩽ n , S k [ u ] = σ k , and λ = , are the eigenvalues of the Hessian matrix D 2 u = [ ∂ i ∂ j u ] 1 ≤ i , j ≤ n and σ k =
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https://en.wikipedia.org/wiki/Hessian_equation
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2023-12-23T16:55:17Z
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{"identifier":"Q17023339","url":"https://www.wikidata.org/entity/Q17023339"}
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