@Article{JPDE-3-1, author = {Wang Guanglie, Wang Wei}, title = {The First Boundary Value Problem for General Parabolic Monge-Ampere Equation}, journal = {Journal of Partial Differential Equations}, year = {1990}, volume = {3}, number = {2}, pages = {1--15}, abstract = { 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 = φ(x, t) on ∂, Q It is proved that there exists a unique convex in x solution to the problem from C^{1+β,2+β/2}(\overline{Q}) under certain structure aod smoothness conditions (H3) - (H7).}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5794.html} }