Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (11): 1310-1318.

• Articles • Previous Articles     Next Articles

MOTION OF LEVEL SETS BY A GENERALIZED MEAN CURVATURE

ZHENG Yong-ai1,2, LIU Zu-han1   

  1. 1. Department of Mathematics, Yangzhou University, Yangzhou 225006, P. R. China;
    2. Department of Mathematics, Shanghai University, Shanghai 200436, P. R. China
  • Received:2000-11-01 Revised:2002-06-09 Online:2002-11-18 Published:2002-11-18
  • Supported by:
    the National Natural Science Foundation of China(10071067)

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.

Key words: level set, mean curvature, signed distance function, principal curvature

2010 MSC Number: 

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