ZHENG Yong-ai, LIU Zu-han. Motion of Level Sets by a Generalized Mean Curvature[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1169-1176.
Citation: ZHENG Yong-ai, LIU Zu-han. Motion of Level Sets by a Generalized Mean Curvature[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1169-1176.

Motion of Level Sets by a Generalized Mean Curvature

  • Received Date: 2001-11-01
  • Rev Recd Date: 2002-06-09
  • Publish Date: 2002-11-15
  • Short time existence and uniqueness for the classical motion are studied by the function of the principal curvatures of a smooth,surface and the Evans and Spruck's results are generalized.
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  • [1]
    Brakke K. The Motion of a Surface by Its Curvature[M]. Mathematical Notes 20,Princeton,NJ:Princeton University Press,1978.
    [2]
    Evans L C,Spruck J. Motion of levelsets by mean curvature[J].Transactions of the Amer,Math,soc,1992,33(1):321-332.
    [3]
    Ladyzhenskaja O,A,Solonnikov V A,Uraltseva N N. Linear and Quasilinear Equations of Paraboic Type[M].Providence R I:Amer Math Soc 1968.
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