Convergence rate estimates for Trotter product approximations of solution operators for non-autonomous Cauchy problems

DOI10.4171/PRIMS/56-1-5zbMath1450.34041arXiv1612.06147MaRDI QIDQ2302859

Artur Stephan, Hagen Neidhardt, Valentin A. Zagrebnov

Publication date: 26 February 2020

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.06147

zbMATH Keywords

perturbation theory evolution equation operator splitting Trotter product formula convergence rate evolution family

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Perturbation theory of linear operators (47A55) Linear differential equations in abstract spaces (34G10)

Related Items (7)

Remarks on the operator-norm convergence of the Trotter product formula ⋮ Non-Autonomous Dynamics and Product Formula Approximation of Solution Operator ⋮ Operator-norm Trotter product formula on Banach spaces ⋮ Product approximations of solution operators for non‐autonomous perturbations of Gibbs semigroups ⋮ Approximation formula for a propagator in symmetrically normed ideals ⋮ Product formulae for non-autonomous Gibbs semigroups ⋮ On Dyson-Phillips type approach to differential equations with variable operators in a Banach space

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