Abstract and Applied Analysis
Volume 1 (1996), Issue 3, Pages 237-262
doi:10.1155/S1085337596000127

Invariance of a closed convex set under a semigroup associated with a nonlinear form

Abstract

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