某种更一般形式的抛物型Monge-Ampère方程

某种更一般形式的抛物型Monge-Ampère方程

任长宇, 王光烈

吉林大学数学研究所, 长春 130012

收稿日期:2005-04-18 修回日期:1900-01-01 出版日期:2006-01-26 发布日期:2006-01-26
通讯作者: 王光烈

A Class of Parabolic Monge-Ampère Equation with a More General Form

REN Chang-yu, WANG Guang-lie

Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2005-04-18 Revised:1900-01-01 Online:2006-01-26 Published:2006-01-26
Contact: WANG Guang-lie

摘要/Abstract

摘要： 对于Caffarelli-Nirenberg-Spruck提出的一种更一般的椭圆型Monge-Ampère算子, 讨论了相应的抛物型Monge-Ampère方程第一初边值问题, 证明了古典解的存在惟一性, 推广了Ladyzhenskaya-Ivochkina关于相应抛物型Monge-Ampère方程的结果.

关键词: 更一般形式, 完全非线性, 非一致抛物, Monge-Ampère型方程

Abstract: For a class of more general elliptic Monge-Ampère operators raised by Caffarelli-Nirenberg-Spruck, the corresponding parabolic Monge-Ampère equation was studied, the existence and uniqueness of the classical solution to the first boundary-initial value problem for the equation were established, which extended a result of Monge-Ampère equation described by Ladyzhenskaya-Ivochkina.

Key words: more general form, fully nonlinear, non-uniformly parabolic, Monge-Ampère type equation

中图分类号:

O175.26

任长宇, 王光烈. 某种更一般形式的抛物型Monge-Ampère方程[J]. J4, 2006, 44(01): 30-38.

REN Chang-yu, WANG Guang-lie. A Class of Parabolic Monge-Ampère Equation with a More General Form[J]. J4, 2006, 44(01): 30-38.

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