Heat Flow for the Minimal Surface with Plateau Boundary Condition

Authors
Chang, Kung Ching Liu, Jia Quan
Citation
Chang, Kung Ching et Liu, Jia Quan, Heat Flow for the Minimal Surface with Plateau Boundary Condition, Acta mathematica Sinica. English series (Print) , 19(1), 2002, pp. 1-28
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
19
Issue
1
Year of publication
2002
Pages
1 - 28
Database
ACNP
SICI code
Abstract
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.