The Initial and Neumann Boundary Value Problem for a Class Parabolic Monge-Ampère Equation
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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/535629 |
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| _version_ | 1850171162868318208 |
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| author | Juan Wang Jinlin Yang Xinzhi Liu |
| author_facet | Juan Wang Jinlin Yang Xinzhi Liu |
| author_sort | Juan Wang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a39dd4010346495e824e283feae43b4e |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a39dd4010346495e824e283feae43b4e2025-08-20T02:20:19ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/535629535629The Initial and Neumann Boundary Value Problem for a Class Parabolic Monge-Ampère EquationJuan Wang0Jinlin Yang1Xinzhi Liu2School of Mathematics, Physics and Biological Engineering, Inner Mongolia University of Science and Technology, Baotou 014010, ChinaSchool of Mathematics, Physics and Biological Engineering, Inner Mongolia University of Science and Technology, Baotou 014010, ChinaDepartment of Applied Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, CanadaWe 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.http://dx.doi.org/10.1155/2013/535629 |
| spellingShingle | Juan Wang Jinlin Yang Xinzhi Liu The Initial and Neumann Boundary Value Problem for a Class Parabolic Monge-Ampère Equation Abstract and Applied Analysis |
| title | The Initial and Neumann Boundary Value Problem for a Class Parabolic Monge-Ampère Equation |
| title_full | The Initial and Neumann Boundary Value Problem for a Class Parabolic Monge-Ampère Equation |
| title_fullStr | The Initial and Neumann Boundary Value Problem for a Class Parabolic Monge-Ampère Equation |
| title_full_unstemmed | The Initial and Neumann Boundary Value Problem for a Class Parabolic Monge-Ampère Equation |
| title_short | The Initial and Neumann Boundary Value Problem for a Class Parabolic Monge-Ampère Equation |
| title_sort | initial and neumann boundary value problem for a class parabolic monge ampere equation |
| url | http://dx.doi.org/10.1155/2013/535629 |
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