Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow
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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.
2020 ◽
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2016 ◽
Vol 444
(1)
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pp. 825
2007 ◽
Vol 325
(1)
◽
pp. 205-225
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2008 ◽
Vol 57
(5)
◽
pp. 2235-2256
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Keyword(s):
2017 ◽
pp. 303-317
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