@Article{JPDE-14-2,
author = {},
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/2001-JPDE-5477},
url = {https://global-sci.com/article/88644/generalized-solution-of-the-first-boundary-value-problem-for-parabolic-monge-ampere-equation}
}