Product approximations of solution operators for non‐autonomous perturbations of Gibbs semigroups

Valentin A. Zagrebnov

Mathematische Nachrichten, 2022, vol. 295, issue 6, 1233-1245

Abstract: The paper is devoted to study of linear evolution equation corresponding to a small non‐autonomous Hölder continuous perturbations of Gibbs semigroups on a separable Hilbert space. It is shown that an evolution family {U(t,s)}0≤s≤t≤T$\lbrace U(t,s)\rbrace _{0 \le s \le t \le T}$ solving the non‐autonomous Cauchy problem can be constructed for s

Date: 2022
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