Monge–Ampère equation

id: monge-amp-re-equation-287-17624328
title: Monge–Ampère equation
text: In mathematics, a (real) Monge–Ampère equation is a nonlinear second-order partial differential equation of special kind. A second-order equation for the unknown function u of two variables x,y is of Monge–Ampère type if it is linear in the determinant of the Hessian matrix of u and in the second-order partial derivatives of u. The independent variables (x,y) vary over a given domain D of R2. The term also applies to analogous equations with n independent variables. The most complete results so
brand slug: wiki
category slug: encyclopedia
description: Nonlinear second-order partial differential equation of special kind
original url: https://en.wikipedia.org/wiki/Monge%E2%80%93Amp%C3%A8re_equation
date created:
date modified: 2023-03-24T23:49:57Z
main entity: {"identifier":"Q1552291","url":"https://www.wikidata.org/entity/Q1552291"}
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