一类推广的中曲率水平集的运动

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基金项目: 国家自然科学基金资助项目(10071067)

Motion of Level Sets by a Generalized Mean Curvature

摘要: 研究了根据一个光滑曲面的主曲率函数的经典运动短时存在及唯一性,推广了Evans和Spruck的结果。
- 水平集 /
- 中曲率 /
- 符号距离函数 /
- 主曲率
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.
- Level set /
- mean curvature /
- signed distance function /
- principal curvature

[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.