The Initial and Neumann Boundary Value Problem for a Class Parabolic Monge-Ampère Equation

الملخص EN

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.