Title of article
Operator splitting for non-autonomous evolution equations
Author/Authors
Andras Batkai، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
28
From page
2163
To page
2190
Abstract
We establish general product formulas for the solutions of non-autonomous abstract Cauchy problems.
The main technical tools are evolution semigroups allowing the direct application of existing results on
autonomous problems. The results obtained are illustrated by the example of an autonomous diffusion equation
perturbed with time dependent potential. We also prove convergence rates for the sequential splitting
applied to this problem.
© 2010 Elsevier Inc. All rights reserved
Keywords
Evolution families , Spatial approximation , Operator splitting , Non-autonomous evolution equations , Lie–Trotter product formula
Journal title
Journal of Functional Analysis
Serial Year
2011
Journal title
Journal of Functional Analysis
Record number
840408
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