Solution Operator for Non-Autonomous Perturbation of Gibbs Semigroup

Valentin Zagrebnov (1)

1 I2M - Institut de Mathématiques de Marseille

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)} 0≤s≤t 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)} {0≤s≤t,n≥1} to the solution operator {U(t, s)} {0≤s≤t} is also established.

Domaines: Analyse fonctionnelle [math.FA]

Valentin Zagrebnov. Solution Operator for Non-Autonomous Perturbation of Gibbs Semigroup. 2020. ⟨hal-02437699⟩