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

Juan Wang, Jinlin Yang and Xinzhi Liu

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:535629

DOI: 10.1155/2013/535629

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