Invariance of a closed convex set under a semigroup associated with a nonlinear form. (Invariance d’un convexe fermé par un semi-groupe associé à une forme non-linéaire.) (French) Zbl 0945.47041

Barthélemy, Louise

Abstr. Appl. Anal. 1, No. 3, 237-262 (1996).

A nonlinear version of the semigroup invariance result in E.-M. Ouhabaz [“Potential Analysis”, Kluwer Acad. Publ. (1996)] is obtained. Some particular examples are also given, to illustrate the effectivity of the proposed methods.

Reviewer: M.Turinici (Iaşi)

MSC:

47H20	Semigroups of nonlinear operators
47D06	One-parameter semigroups and linear evolution equations

Keywords:

Hilbert space; convex set; nonlinear form; semigroup; invariance; maximal monotonicity; semigroup invariance