TY - JOUR
T1 - The First Boundary Value Problem for General Parabolic Monge-Ampere Equation
AU - Wang Guanglie, Wang Wei
JO - Journal of Partial Differential Equations
VL - 2
SP - 1
EP - 15
PY - 1990
DA - 1990/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5794.html
KW - General parabolic Mange-Ampere equation
KW -  first boundary value problem
KW -  classical solution
AB -  In this note we consider the first boundary value problem for a general parabolic Monge-Ampere equation u_t - log det(D_{ij}u) = f(x, t, u,D_2u) in Q, \quad u = &#966(x, t) on &#8706, Q It is proved that there exists a unique convex in x solution to the problem from C^{1+&#946,2+&#946/2}(\overline{Q}) under certain structure aod smoothness conditions (H3) - (H7).