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The Third Initial-boundary Value Problem for a Class of Parabolic Monge-Ampère Equations

The Third Initial-boundary Value Problem for a Class of Parabolic Monge-Ampère Equations
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摘要 For the more general parabolic Monge-Ampère equations defined by the operator F (D2u + σ(x)), the existence and uniqueness of the admissible solution to the third initial-boundary value problem for the equation are established. A new structure condition which is used to get a priori estimate is established. For the more general parabolic Monge-Ampère equations defined by the operator F (D2u + σ(x)), the existence and uniqueness of the admissible solution to the third initial-boundary value problem for the equation are established. A new structure condition which is used to get a priori estimate is established.
出处 《Communications in Mathematical Research》 CSCD 2012年第1期75-90,共16页 数学研究通讯(英文版)
基金 The NSF (10401009) of China NCET (060275) of China
关键词 parabolic Monge-Ampere equation admissible solution the third initial-boundary value problem parabolic Monge-Ampere equation, admissible solution, the third initial-boundary value problem
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