We consider the existence, uniqueness, and asymptotic behavior of a classical solution to the initial and Neumann boundary value problem for a class nonlinear parabolic equation of Monge-Ampère type. We show that such solution exists for all times and is unique. It converges eventually to a solution that satisfies a Neumann type problem for nonlinear elliptic equation of Monge-Ampère type.
"The Initial and Neumann Boundary Value Problem for a Class Parabolic Monge-Ampère Equation." Abstr. Appl. Anal. 2013 (SI62) 1 - 8, 2013. https://doi.org/10.1155/2013/535629