{"acknowledgement":"We would like to thank Tim Binz, Emiel Lorist and Mark Veraar for valuable discussions. We also thank the anonymous referees for their helpful comments and suggestions, and for the very accurate reading of the manuscript.\r\nThe first author has been supported partially by the Nachwuchsring – Network for the promotion of young scientists – at TU Kaiserslautern. Both authors have been supported by MathApp – Mathematics Applied to Real-World Problems - part of the Research Initiative of the Federal State of Rhineland-Palatinate, Germany.","file_date_updated":"2024-01-10T11:23:57Z","isi":1,"keyword":["Analysis"],"ddc":["510"],"intvolume":"       285","volume":285,"year":"2023","article_type":"original","citation":{"chicago":"Agresti, Antonio, and Amru Hussein. “Maximal Lp-Regularity and H∞-Calculus for Block Operator Matrices and Applications.” <i>Journal of Functional Analysis</i>. Elsevier, 2023. <a href=\"https://doi.org/10.1016/j.jfa.2023.110146\">https://doi.org/10.1016/j.jfa.2023.110146</a>.","apa":"Agresti, A., &#38; Hussein, A. (2023). Maximal Lp-regularity and H∞-calculus for block operator matrices and applications. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2023.110146\">https://doi.org/10.1016/j.jfa.2023.110146</a>","ista":"Agresti A, Hussein A. 2023. Maximal Lp-regularity and H∞-calculus for block operator matrices and applications. Journal of Functional Analysis. 285(11), 110146.","ama":"Agresti A, Hussein A. Maximal Lp-regularity and H∞-calculus for block operator matrices and applications. <i>Journal of Functional Analysis</i>. 2023;285(11). doi:<a href=\"https://doi.org/10.1016/j.jfa.2023.110146\">10.1016/j.jfa.2023.110146</a>","short":"A. Agresti, A. Hussein, Journal of Functional Analysis 285 (2023).","mla":"Agresti, Antonio, and Amru Hussein. “Maximal Lp-Regularity and H∞-Calculus for Block Operator Matrices and Applications.” <i>Journal of Functional Analysis</i>, vol. 285, no. 11, 110146, Elsevier, 2023, doi:<a href=\"https://doi.org/10.1016/j.jfa.2023.110146\">10.1016/j.jfa.2023.110146</a>.","ieee":"A. Agresti and A. Hussein, “Maximal Lp-regularity and H∞-calculus for block operator matrices and applications,” <i>Journal of Functional Analysis</i>, vol. 285, no. 11. Elsevier, 2023."},"_id":"14772","article_number":"110146","language":[{"iso":"eng"}],"has_accepted_license":"1","publication":"Journal of Functional Analysis","author":[{"last_name":"Agresti","first_name":"Antonio","id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72","full_name":"Agresti, Antonio","orcid":"0000-0002-9573-2962"},{"last_name":"Hussein","first_name":"Amru","full_name":"Hussein, Amru"}],"doi":"10.1016/j.jfa.2023.110146","external_id":{"isi":["001081809000001"],"arxiv":["2108.01962"]},"publication_identifier":{"issn":["0022-1236"]},"title":"Maximal Lp-regularity and H∞-calculus for block operator matrices and applications","quality_controlled":"1","status":"public","oa_version":"Published Version","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2024-01-10T09:15:18Z","publisher":"Elsevier","scopus_import":"1","date_published":"2023-12-01T00:00:00Z","publication_status":"published","issue":"11","department":[{"_id":"JuFi"}],"abstract":[{"text":"Many coupled evolution equations can be described via 2×2-block operator matrices of the form A=[ \r\nA\tB\r\nC\tD\r\n ] in a product space X=X1×X2 with possibly unbounded entries. Here, the case of diagonally dominant block operator matrices is considered, that is, the case where the full operator A can be seen as a relatively bounded perturbation of its diagonal part with D(A)=D(A)×D(D) though with possibly large relative bound. For such operators the properties of sectoriality, R-sectoriality and the boundedness of the H∞-calculus are studied, and for these properties perturbation results for possibly large but structured perturbations are derived. Thereby, the time dependent parabolic problem associated with A can be analyzed in maximal Lpt\r\n-regularity spaces, and this is applied to a wide range of problems such as different theories for liquid crystals, an artificial Stokes system, strongly damped wave and plate equations, and a Keller-Segel model.","lang":"eng"}],"type":"journal_article","file":[{"checksum":"eda98ca2aa73da91bd074baed34c2b3c","relation":"main_file","access_level":"open_access","creator":"dernst","file_name":"2023_JourFunctionalAnalysis_Agresti.pdf","content_type":"application/pdf","date_updated":"2024-01-10T11:23:57Z","date_created":"2024-01-10T11:23:57Z","file_size":1120592,"success":1,"file_id":"14789"}],"day":"01","month":"12","article_processing_charge":"Yes (in subscription journal)","date_updated":"2024-01-10T11:24:56Z","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"}}