Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow

Zenggui Wang

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-12

Abstract:

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:6905269

DOI: 10.1155/2020/6905269

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