某种更一般形式的抛物型Monge-Ampère方程  

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

作　　者：任长宇[1] 王光烈[1] 

机构地区：[1]吉林大学数学研究所,长春130012

出　　处：《吉林大学学报（理学版）》2006年第1期30-38,共9页Journal of Jilin University:Science Edition

摘　　要：对于Caffarelli-N irenberg-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.For a class of the corresponding solution to the first parabo more general elliptic Monge-Ampere operators raised by Caffarelli-Nirenberg-Spruck, lic Monge-Ampiere equation was studied, the existence and uniqueness of the classical boundary-initial value problem for the equation were established, which extended a result of Monge-Ampere equation described by Ladyzhenskaya-Ivochkina.

关 键 词：更一般形式 完全非线性 非一致抛物 Monge—Ampiere型方程 

分 类 号：O175.26[理学—数学] O175.29[理学—基础数学]