Global classical solutions to hyperbolic geometric flow on Riemann surfaces

DOI10.2140/PJM.2010.246.333zbMath1198.30046OpenAlexW1969621664MaRDI QIDQ975808

Yuanzhang Zhang, Fa-Gui Liu

Publication date: 11 June 2010

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2010.246.333

zbMATH Keywords

Riemann surfaceclassical solutionquasilinear hyperbolic systemhyperbolic geometric flow equation

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Initial value problems for first-order hyperbolic systems (35L45) Hyperbolic equations on manifolds (58J45)

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Hyperbolic mean curvature flow for Lagrangian graphs: one dimensional case ⋮ Optimal system, invariant solutions and conservation laws of the hyperbolic geometry flow with time-dependent dissipation

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