Operator splitting for non-autonomous evolution equations

Details Operator splitting for non-autonomous evolution equations Operator splitting for non-autonomous evolution equations

2010-01-31

arxiv.org/abs/1002.0164v4

Journal of Functional Analysis (2011)

Mathematics

Functional Analysis

Referees suggestions incorporated, misprints corrected. Final version

Scientific paper

10.1016/j.jfa.2010.10.008

We provide general product formulas for the solutions of non-autonomous abstract Cauchy problems. The main technical tool is the application of evolution semigroup methods, allowing the direct application of existing results on autonomous problems. The results are then illustrated by the example of a imaginary time Schr\"odinger equation with time dependent potential. We also obtain convergence rates for the Strang-splitting applied to this problem.

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