A note on maximal regularity in relation with measure theory

We present a synthetic method based on double approximation (multilevel approach) to state the maximal regularity of non-autonomous evolution equations, of non-autonomous evolution problems, mainly those driven by closed operators arising from sesquilinear forms, which enjoy some analytic properties.The infinite product of semigroups and elementary results, mainly some classical remarkable sets, in measure theory will play a central role in technical calculus.

Publication Details

Journal
Results in Nonlinear Analysis
Published
2025-01-01
DOI
https://doi.org/10.31838/rna/2025.08.01.018
Primary Topic
Mathematical and Theoretical Analysis
Type
article
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article

A note on maximal regularity in relation with measure theory

Results in Nonlinear Analysis
Mathematical and Theoretical Analysis
article

A note on maximal regularity in relation with measure theory

article en

Abstract

We present a synthetic method based on double approximation (multilevel approach) to state the maximal regularity of non-autonomous evolution equations, of non-autonomous evolution problems, mainly those driven by closed operators arising from sesquilinear forms, which enjoy some analytic properties.The infinite product of semigroups and elementary results, mainly some classical remarkable sets, in measure theory will play a central role in technical calculus.

Results in Nonlinear AnalysisVol. 8(1)
Reduced inequalities
Openalex Percentile: Top 74%
Mathematical and Theoretical Analysis
DOIOpen Access PDFOpenAlex
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A note on maximal regularity in relation with measure theory · Results in Nonlinear Analysis (2025) | TGRS Research Map | TGRS