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.
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
1.
Department of Mathematics, Yangzhou University, Yangzhou 225006, P R China;
2.
Department of Mathematics, Shanghai University, Shanghai 200436, P R China
Received Date: 2001-11-01
Rev Recd Date:
2002-06-09
Publish Date:
2002-11-15
Abstract
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.
References
[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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