{"article_processing_charge":"No","intvolume":"        60","title":"Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions","citation":{"mla":"Agresti, Antonio, and Mark Veraar. “Stochastic Maximal Lp(Lq)-Regularity for Second Order Systems with Periodic Boundary Conditions.” <i>Annales de l’institut Henri Poincare Probability and Statistics</i>, vol. 60, no. 1, Institute of Mathematical Statistics, 2024, pp. 413–30, doi:<a href=\"https://doi.org/10.1214/22-AIHP1333\">10.1214/22-AIHP1333</a>.","ista":"Agresti A, Veraar M. 2024. Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions. Annales de l’institut Henri Poincare Probability and Statistics. 60(1), 413–430.","ieee":"A. Agresti and M. Veraar, “Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions,” <i>Annales de l’institut Henri Poincare Probability and Statistics</i>, vol. 60, no. 1. Institute of Mathematical Statistics, pp. 413–430, 2024.","short":"A. Agresti, M. Veraar, Annales de l’institut Henri Poincare Probability and Statistics 60 (2024) 413–430.","chicago":"Agresti, Antonio, and Mark Veraar. “Stochastic Maximal Lp(Lq)-Regularity for Second Order Systems with Periodic Boundary Conditions.” <i>Annales de l’institut Henri Poincare Probability and Statistics</i>. Institute of Mathematical Statistics, 2024. <a href=\"https://doi.org/10.1214/22-AIHP1333\">https://doi.org/10.1214/22-AIHP1333</a>.","apa":"Agresti, A., &#38; Veraar, M. (2024). Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions. <i>Annales de l’institut Henri Poincare Probability and Statistics</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/22-AIHP1333\">https://doi.org/10.1214/22-AIHP1333</a>","ama":"Agresti A, Veraar M. Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions. <i>Annales de l’institut Henri Poincare Probability and Statistics</i>. 2024;60(1):413-430. doi:<a href=\"https://doi.org/10.1214/22-AIHP1333\">10.1214/22-AIHP1333</a>"},"publication_identifier":{"issn":["0246-0203"]},"quality_controlled":"1","date_published":"2024-02-01T00:00:00Z","volume":60,"scopus_import":"1","oa":1,"abstract":[{"lang":"eng","text":"In this paper we consider an SPDE where the leading term is a second order operator with periodic boundary conditions, coefficients which are measurable in  (t,ω) , and Hölder continuous in space. Assuming stochastic parabolicity conditions, we prove Lp((0,T)×Ω,tκdt;Hσ,q(Td)) -estimates. The main novelty is that we do not require  p=q . Moreover, we allow arbitrary  σ∈R  and weights in time. Such mixed regularity estimates play a crucial role in applications to nonlinear SPDEs which is clear from our previous work. To prove our main results we develop a general perturbation theory for SPDEs. Moreover, we prove a new result on pointwise multiplication in spaces with fractional smoothness."}],"year":"2024","day":"01","language":[{"iso":"eng"}],"author":[{"first_name":"Antonio","orcid":"0000-0002-9573-2962","last_name":"Agresti","full_name":"Agresti, Antonio","id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72"},{"last_name":"Veraar","first_name":"Mark","full_name":"Veraar, Mark"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2106.01274","open_access":"1"}],"page":"413-430","acknowledgement":"The first author has been partially supported by the Nachwuchsring – Network for the promotion of young scientists – at TU Kaiserslautern. The second author is supported by the VIDI subsidy 639.032.427 of the Netherlands Organisation for Scientific Research (NWO). The authors thank the anonymous referees and Max Sauerbrey for careful reading and helpful suggestions.","doi":"10.1214/22-AIHP1333","oa_version":"Preprint","department":[{"_id":"JuFi"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2024-03-19T08:14:17Z","type":"journal_article","status":"public","article_type":"original","_id":"15119","month":"02","date_created":"2024-03-17T23:00:58Z","publication_status":"published","publisher":"Institute of Mathematical Statistics","external_id":{"arxiv":["2106.01274"]},"publication":"Annales de l'institut Henri Poincare Probability and Statistics","issue":"1"}