Interior flow invariance condition for nonlinear semigroups on convex domains in Banach spaces

摘要

A numerical study was conducted to find the interior flow invariance condition for nonlinear semigroups on convex domains in Banach spaces. In particular, the equation p_D(x): = inf{λ>0: x is a member of the set λ_D}, x is a member of the set X, where X is a Banach space, D is a convex domain in X with 0 is a member of the set D, and p is the Minkowski functional of D, is analyzed.