Viscosity Solutions to a Parabolic Inhomogeneous Equation Associated with Infinity Laplacian

被引：1

作者：

Liu, Fang ^{[1
]}

Yang, Xiao Ping ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Sci, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2015年 / 31卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Parabolic equation; infinity Laplacian; viscosity solution; inhomogeneous equation; comparison principle; existence; TUG-OF-WAR; MINIMIZATION PROBLEMS; LIPSCHITZ EXTENSIONS; ASYMPTOTIC-BEHAVIOR; UNIQUENESS; F'(X));

D O I：

10.1007/s10114-015-3244-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain the existence and uniqueness results of viscosity solutions to the initial and boundary value problem for a nonlinear degenerate and singular parabolic inhomogeneous equation of the form u(t) - Delta(N)(infinity)u = f, where Delta(N)(infinity)u denotes the so-called normalized infinity Laplacian given by Delta(N)(infinity)u = 1/|Du|(2) < D(2)uDu, Du >.

引用

页码：255 / 271

页数：17

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