Non-Autonomous Maximal Regularity for Forms Given by Elliptic Operators\n of Bounded Variation

2016/09/28 by Stephan Fackler, Fackler, Stephan
Mathematics · #35B65 (Primary) 47A07 (Secondary) #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1609.08823

openalex publication_date 2016/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show maximal L^p-regularity for non-autonomous Cauchy problems provided\nthe trace spaces are stable in some parameterized sense and the time dependence\nis of bounded variation. In particular, on L², we obtain for all p \∈\n(1,2] maximal L^p-regularity for non-autonomous elliptic operators with\nmeasurable coefficients.\n

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