Abstract and Applied Analysis

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

Juan Wang, Jinlin Yang, and Xinzhi Liu

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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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Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 535629, 8 pages.

First available in Project Euclid: 26 February 2014

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Wang, Juan; Yang, Jinlin; Liu, Xinzhi. The Initial and Neumann Boundary Value Problem for a Class Parabolic Monge-Ampère Equation. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 535629, 8 pages. doi:10.1155/2013/535629. https://projecteuclid.org/euclid.aaa/1393450136

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