Invariance d’un convexe fermé par un semi-groupe associé à une forme non-linéaire

Abstract

The invariance of a closed and convex set under a semigroup $S\left(t\right)$ associated with a nonlinear form is investigated. Other properties of increase and domination of the semigroup $S\left(t\right)$ are also derived. Examples are also given to demonstrate the power of the theoretical results.