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

Juan Wang | Zendy; Jinlin Yang | Zendy; Xinzhi Liu | Zendy

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

Author(s) -

Juan Wang,

Jinlin Yang,

Xinzhi Liu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/535629

Subject(s) - mathematics , uniqueness , neumann boundary condition , boundary value problem , mathematical analysis , class (philosophy) , type (biology) , nonlinear system , parabolic partial differential equation , partial differential equation , ecology , physics , quantum mechanics , artificial intelligence , computer science , biology

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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