TY - JOUR
T1 - Convexified Gauss curvature flow of sets
T2 - A stochastic approximation
AU - Ishii, Hitoshi
AU - Mikami, Toshio
PY - 2005
Y1 - 2005
N2 - We construct a discrete stochastic approximation of a convexified Gauss curvature flow of boundaries of bounded open sets in an anisotropic external field. We also show that a weak solution to the PDE which describes the motion of a bounded open set is unique and is a viscosity solution of it.
AB - We construct a discrete stochastic approximation of a convexified Gauss curvature flow of boundaries of bounded open sets in an anisotropic external field. We also show that a weak solution to the PDE which describes the motion of a bounded open set is unique and is a viscosity solution of it.
KW - Convexified Gauss curvature flow
KW - Stochastic approximation
KW - Viscosity solution
KW - Weak solution
UR - http://www.scopus.com/inward/record.url?scp=14944371769&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=14944371769&partnerID=8YFLogxK
U2 - 10.1137/S0036141002420509
DO - 10.1137/S0036141002420509
M3 - Article
AN - SCOPUS:14944371769
VL - 36
SP - 552
EP - 579
JO - SIAM Journal on Mathematical Analysis
JF - SIAM Journal on Mathematical Analysis
SN - 0036-1410
IS - 2
ER -