TY - JOUR T1 - The Third Initial-Boundary Value Problem for a Class of Parabolic Monge-Ampère Equations AU - Lü , Boqiang AU - Li , Fengquan JO - Communications in Mathematical Research VL - 1 SP - 75 EP - 90 PY - 2021 DA - 2021/05 SN - 28 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19066.html KW - parabolic Monge-Ampère equation, admissible solution, the third initial-boundary value problem. AB -

For the more general parabolic Monge-Ampère equations defined by the operator $F(D^2u + σ(x))$, 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.