TY - JOUR
T1 - Evolution of Nonparametric Surfaces with Speed Depending on Curvature Function
JO - Journal of Partial Differential Equations
VL - 4
SP - 301
EP - 319
PY - 2000
DA - 2000/11
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5516.html
KW - Evolution of surface
KW - curvature function
KW - boundary condition
KW - classical solution
KW - asymptotic behaviour
AB -  We investigate the asymptotic behaviour of solution of the initial-boundary value problem for the equation, which describes the evolution of graphs with speed depending on curvature function of current graphs. In contrast with [1-5] and others, in which the speed of flow of graphs is directly proportional to the curvature of graphs, here we discuss is that the speed is inversely proportional to the curvature of graphs, and our methods is different from theirs.