The Initial and Neumann Boundary Value Problem for A Class Parabolic Monge–Ampère Equation
Monge–Ampère equation is a typical fully nonlinear non-uniformly equation. The study of MA is motivated by the following two problems: Minkowski problem and Weyl problem. We consider the existence and uniqueness 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 a solution exists for all times and is unique.
KeywordsParabolic Monge–Ampère equation Neumann Boundary value
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