An explicit Maclaurin series solution to a classic non-autonomous abstract evolution equation

DOI10.1016/j.aml.2022.108537OpenAlexW3165447822MaRDI QIDQ2678357

Yanyan Li

Publication date: 23 January 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.11670

zbMATH Keywords

analytic functionsbounded linear operatorsabstract evolution equations

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) (Semi-) Fredholm operators; index theories (47A53) Linear differential equations in abstract spaces (34G10) Elliptic equations and elliptic systems (35J99) Matrix exponential and similar functions of matrices (15A16)

Cites Work

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• The early proofs of the theorem of Campbell, Baker, Hausdorff, and Dynkin
• The Peano-Baker series
• Some existence and regularity results for abstract non-autonomous parabolic equations
• Power series solution of first order matrix differential equations
• An exact formulation of the time-ordered exponential using path-sums
• Analytic Functions in Banach Spaces
• A characterization of real analytic functions
• Optimal regularity and Fredholm properties of abstract parabolic operators in $L^{p}$ spaces on the real line
• On the exponential solution of differential equations for a linear operator

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