Remark on $C_0$-semigroups with scaling invariance

Yasunori Maekawa

Abstract

We study $C_0$-semigroups acting on a Banach space which possess an invariant property with respect to an action of the multiplicative group of positive real numbers (scaling). Some properties on the domains or the spectrum of the associated generators are presented.

Article information

Dates
First available in Project Euclid: 30 October 2018

https://projecteuclid.org/ euclid.aspm/1540934231

Digital Object Identifier
doi:10.2969/aspm/06410337

Mathematical Reviews number (MathSciNet)
MR3381220

Zentralblatt MATH identifier
1357.47043

Citation

Maekawa, Yasunori. Remark on $C_0$-semigroups with scaling invariance. Nonlinear Dynamics in Partial Differential Equations, 337--345, Mathematical Society of Japan, Tokyo, Japan, 2015. doi:10.2969/aspm/06410337. https://projecteuclid.org/euclid.aspm/1540934231