Locally Lipschitz continuous integrated semigroups

• Autorzy: Naoki Tanaka
• Języki publikacji: EN

Abstrakty

EN

This paper is concerned with the problem of real characterization of locally Lipschitz continuous (n + 1)-times integrated semigroups, where n is a nonnegative integer. It is shown that a linear operator is the generator of such an integrated semigroup if and only if it is closed, its resolvent set contains all sufficiently large real numbers, and a stability condition in the spirit of the finite difference approximation theory is satisfied.

Kategorie tematyczne

• 47D60: C -semigroups, regularized semigroups
• 47D62: Integrated semigroups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 167
• Numer: 1
• Strony: 1-16

Daty

wydano

2005

Twórcy

autor

Naoki Tanaka

• Department of Mathematics, Faculty of Science, Okayama University, Okayama 700-8530, Japan

Identyfikatory

DOI

10.4064/sm167-1-1