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.
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References
Brakke K.The Motion of a Surface by Its Curvature[M]. Mathematical Notes 20, Princeton: Princeton University Press, NJ, 1978.
Evans L C, Spruck J. Motion of levelsets by mean curvature[J].Transactions of the Amer, Math, Soc, 1992,33(1):321–332.
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Communicated by LIU Zeng-rong
Foundation item: the National Natural Science Foundation of China (10071067)
Biography: ZHENG Yong-ai (1966-), Associate Professor, Doctor
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Yong-ai, Z., Zu-han, L. Motion of level sets by a generalized mean curvature. Appl Math Mech 23, 1310–1318 (2002). https://doi.org/10.1007/BF02439461
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DOI: https://doi.org/10.1007/BF02439461