Parabolic Hessian Equations Outside a Cylinder
In this article, we mainly review the parabolic Hessian equation on the exterior region. The existence and uniqueness of solutions with asymptotic properties to the exterior problem of the parabolic Hessian equation were obtained by using the Perron method.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-08-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/10/16/2839 |
| _version_ | 1827617783128522752 |
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| author | Limei Dai Xuewen Guo |
| author_facet | Limei Dai Xuewen Guo |
| author_sort | Limei Dai |
| collection | DOAJ |
| description | In this article, we mainly review the parabolic Hessian equation on the exterior region. The existence and uniqueness of solutions with asymptotic properties to the exterior problem of the parabolic Hessian equation were obtained by using the Perron method. |
| first_indexed | 2024-03-09T09:52:51Z |
| format | Article |
| id | doaj.art-604745ad365842559b69f05896037231 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T09:52:51Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-604745ad365842559b69f058960372312023-12-01T23:57:15ZengMDPI AGMathematics2227-73902022-08-011016283910.3390/math10162839Parabolic Hessian Equations Outside a CylinderLimei Dai0Xuewen Guo1School of Mathematics and Information Science, Weifang University, Weifang 261061, ChinaCollege of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, ChinaIn this article, we mainly review the parabolic Hessian equation on the exterior region. The existence and uniqueness of solutions with asymptotic properties to the exterior problem of the parabolic Hessian equation were obtained by using the Perron method.https://www.mdpi.com/2227-7390/10/16/2839asymptotic behaviorexterior Dirichlet problemviscosity solutionHessian equation |
| spellingShingle | Limei Dai Xuewen Guo Parabolic Hessian Equations Outside a Cylinder Mathematics asymptotic behavior exterior Dirichlet problem viscosity solution Hessian equation |
| title | Parabolic Hessian Equations Outside a Cylinder |
| title_full | Parabolic Hessian Equations Outside a Cylinder |
| title_fullStr | Parabolic Hessian Equations Outside a Cylinder |
| title_full_unstemmed | Parabolic Hessian Equations Outside a Cylinder |
| title_short | Parabolic Hessian Equations Outside a Cylinder |
| title_sort | parabolic hessian equations outside a cylinder |
| topic | asymptotic behavior exterior Dirichlet problem viscosity solution Hessian equation |
| url | https://www.mdpi.com/2227-7390/10/16/2839 |
| work_keys_str_mv | AT limeidai parabolichessianequationsoutsideacylinder AT xuewenguo parabolichessianequationsoutsideacylinder |