【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.更多还原

【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.更多还原