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

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  • Juan Wang
  • Jinlin Yang
  • Xinzhi Liu

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.

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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:535629
DOI: 10.1155/2013/535629
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