The initial and Neumann boundary value problem for a class parabolic Monge-Ampère equation (Q2015714)
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scientific article; zbMATH DE number 6306983
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The initial and Neumann boundary value problem for a class parabolic Monge-Ampère equation |
scientific article; zbMATH DE number 6306983 |
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The initial and Neumann boundary value problem for a class parabolic Monge-Ampère equation (English)
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23 June 2014
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Summary: 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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existence
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uniqueness
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classical solution
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