The first initial-boundary value problem for fully nonlinear parabolic equations generated by functions of the eigenvalues of the Hessian

被引：4

作者：

Ren, Changyu ^{[1
]}

机构：

[1] Jilin Univ, Inst Math, Changchun 130012, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 339卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Hessian operators; fully nonlinear; admissible solution; Monge-Ampere type equation;

D O I：

10.1016/j.jmaa.2007.07.076

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a class of elliptic Hessian operators raised by Caffarelli-Nirenberg-Spruck, the corresponding parabolic Monge-Ampere equation was studied, the existence and uniqueness of the admissible solution to the first initial-boundary value problem for the equation were established, which extended a result of Ivochkina-Ladyzhenskaya. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1362 / 1373

页数：12

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