Octonions and Singular Solutions of Hessian Elliptic Equations

Octonions and Singular Solutions of Hessian Elliptic Equations
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Hessian 椭圆方程的八元数和奇异解

DOI:
10.1007/s00039-011-0112-0
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发表时间:
2011
影响因子:
2.2
通讯作者:
S. Vladut
S. Vladut
中科院分区:
数学1区
文献类型:
--
作者:
N. Nadirashvili;S. Vladut

文献摘要

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利用八元数代数构造了完全非线性Hessian椭圆方程的奇异粘性解。这些方程以Isaacs方程的形式写出。
Algebra of Octonions is used to construct singular viscosity solutions of fully nonlinear Hessian elliptic equations. These equations are written in the form of an Isaacs equation.