ACTA issues

Steklov operators and their associated semigroups

Michele Campiti, Ioan Rasa, Cristian Tacelli

Acta Sci. Math. (Szeged) 74:1-2(2008), 171-189

Abstract. We consider Steklov operators in spaces of continuous functions on the real line and on a bounded interval. We study the connections of these operators with some second-order degenerate parabolic problems establishing a general Voronovskaja type formula.

AMS Subject Classification (1991): 41A36, 35K65

Keyword(s): Steklov operators, Representation of semigroups, Evolution problems

Received February 8, 2007, and in revised form May 4, 2007. (Registered under 6010/2009.)