Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow
In this paper, we investigate the life-span of classical solutions to hyperbolic inverse mean curvature flow. Under the condition that the curve can be expressed in the form of a graph, we derive a hyperbolic Monge–Ampère equation which can be reduced to a quasilinear hyperbolic system in terms of R...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/6905269 |
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| _version_ | 1849696317295558656 |
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| author | Zenggui Wang |
| author_facet | Zenggui Wang |
| author_sort | Zenggui Wang |
| collection | DOAJ |
| description | In this paper, we investigate the life-span of classical solutions to hyperbolic inverse mean curvature flow. Under the condition that the curve can be expressed in the form of a graph, we derive a hyperbolic Monge–Ampère equation which can be reduced to a quasilinear hyperbolic system in terms of Riemann invariants. By the theory on the local solution for the Cauchy problem of the quasilinear hyperbolic system, we discuss life-span of classical solutions to the Cauchy problem of hyperbolic inverse mean curvature. |
| format | Article |
| id | doaj-art-cc0485d5f9104562b75fa57cb05c7c58 |
| institution | DOAJ |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-cc0485d5f9104562b75fa57cb05c7c582025-08-20T03:19:29ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/69052696905269Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature FlowZenggui Wang0School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, ChinaIn this paper, we investigate the life-span of classical solutions to hyperbolic inverse mean curvature flow. Under the condition that the curve can be expressed in the form of a graph, we derive a hyperbolic Monge–Ampère equation which can be reduced to a quasilinear hyperbolic system in terms of Riemann invariants. By the theory on the local solution for the Cauchy problem of the quasilinear hyperbolic system, we discuss life-span of classical solutions to the Cauchy problem of hyperbolic inverse mean curvature.http://dx.doi.org/10.1155/2020/6905269 |
| spellingShingle | Zenggui Wang Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow Discrete Dynamics in Nature and Society |
| title | Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow |
| title_full | Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow |
| title_fullStr | Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow |
| title_full_unstemmed | Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow |
| title_short | Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow |
| title_sort | life span of classical solutions to hyperbolic inverse mean curvature flow |
| url | http://dx.doi.org/10.1155/2020/6905269 |
| work_keys_str_mv | AT zengguiwang lifespanofclassicalsolutionstohyperbolicinversemeancurvatureflow |