Heat Flow for the Minimal Surface with Plateau Boundary Condition  

作　　者：KungChingCHANG JiaQuanLIU 

机构地区：[1]SchoolofMathematics,PekingUniversity,Beijing100871,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2003年第1期1-28,共28页数学学报（英文版）

摘　　要：The heat flow for the minimal surface under Plateau boundary condition is defined to be a parabolic variational inequality, and then the existence, uniqueness, regularity, continuous dependence on the initial data and the asymptotics are studied. It is applied as a deformation of the level sets in the critical point theory.The heat flow for the minimal surface under Plateau boundary condition is defined to be a parabolic variational inequality, and then the existence, uniqueness, regularity, continuous dependence on the initial data and the asymptotics are studied. It is applied as a deformation of the level sets in the critical point theory.

关 键 词：Plateau problem Minimal surface Heat flow Variational inequality REGULARITY 

分 类 号：O186.16[理学—数学]