The lifespan of classical solution to the Cauchy problem for the hyperbolic mean curvature flow

DOI10.1360/N012016-00188zbMath1499.35010OpenAlexW2613628224MaRDI QIDQ5063865

Xiuzhan Li, Zenggui Wang

Publication date: 21 March 2022

Published in: SCIENTIA SINICA Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1360/n012016-00188

zbMATH Keywords

Riemann invariantslifespanhyperbolic mean curvature flowhyperbolic Monge-Ampère equation

Mathematics Subject Classification ID

Initial value problems for first-order hyperbolic systems (35L45) Hyperbolic equations on manifolds (58J45) Propagation of singularities; initial value problems on manifolds (58J47) Classical solutions to PDEs (35A09) Flows related to mean curvature (53E10)

Related Items (3)

Hyperbolic inverse mean curvature flow with forced term: Evolution of plane curves ⋮ Symmetries and conservation laws associated with a hyperbolic mean curvature flow ⋮ Dissipative hyperbolic mean curvature flow for closed convex plane curves

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