@Article{JPDE-14-149,
author = {Li Chen , Guanglie Wang  and Songzhe Lian },
title = {Generalized Solution of the First Boundary Value Problem for Parabolic Monge-Ampere Equation},
journal = {Journal of Partial Differential Equations},
year = {2001},
volume = {14},
number = {2},
pages = {149--162},
abstract = { The existence and uniqueness of generalized solution to the first boundary value problem for parabolic Monge-Ampère equation - ut det D²_xu = f in Q = Ω × (0, T], u = φ on ∂_pQ are proved if there exists a strict generalized supersolution u_φ, where Ω ⊂ R^n is a bounded convex set, f is a nonnegative bounded measurable function defined on Q, φ ∈ C(∂_pQ), φ(x, 0) is a convex function in \overline{\Omega}, ∀x_0 ∈ ∂Ω, φ(x_0, t) ∈ C^α([0, T]).},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5477.html}
}