Solution Operator for Non-Autonomous Perturbation of Gibbs Semigroup
Functional Analysis
2020-01-22 v1
Abstract
The paper is devoted to a linear dynamics for non-autonomous perturbation of the Gibbs semigroup on a separable Hilbert space. It is shown that evolution family {U(t, s)} 0st solving the non-autonomous Cauchy problem can be approximated in the trace-norm topology by product formulae. The rate of convergence of product formulae approximants {U n (t, s)} {0st,n1} to the solution operator {U(t, s)} {0st} is also established.
Cite
@article{arxiv.2001.07377,
title = {Solution Operator for Non-Autonomous Perturbation of Gibbs Semigroup},
author = {Valentin Zagrebnov},
journal= {arXiv preprint arXiv:2001.07377},
year = {2020}
}