On the $L^p$-theory for second-order elliptic operators in divergence form with complex coefficients
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2590 | |
dc.contributor.author | ter Elst, A.F.M. | |
dc.contributor.author | Haller-Dintelmann, Robert | |
dc.contributor.author | Rehberg, Joachim | |
dc.contributor.author | Tolksdorf, Patrick | |
dc.date.accessioned | 2022-06-23T09:38:50Z | |
dc.date.available | 2022-06-23T09:38:50Z | |
dc.date.issued | 2019 | |
dc.description.abstract | Given a complex, elliptic coefficient function we investigate for which values of p the corresponding second-order divergence form operator, complemented with Dirichlet, Neumann or mixed boundary conditions, generates a strongly continuous semigroup on Lp(Ω). Additional properties like analyticity of the semigroup, H∞-calculus and maximal regularity arealso discussed. Finally we prove a perturbation result for real coefficients that gives the whole range of p's for small imaginary parts of the coefficients. Our results are based on the recent notion of p-ellipticity, reverse Hölder inequalities and Gaussian estimates for the real coefficients. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9164 | |
dc.identifier.uri | https://doi.org/10.34657/8202 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2590 | |
dc.relation.hasversion | https://doi.org/10.1007/s00028-021-00711-4 | |
dc.relation.issn | 2198-5855 | |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | |
dc.subject.other | Divergence form operators on open sets | eng |
dc.subject.other | p-ellipticity | eng |
dc.subject.other | sectorial | eng |
dc.subject.other | operators | eng |
dc.subject.other | analytic semigroups | eng |
dc.subject.other | maximal regularity | eng |
dc.subject.other | reverse Hölder inequalities | eng |
dc.subject.other | Gaussian estimates | eng |
dc.subject.other | De Giorgi estimates | eng |
dc.title | On the $L^p$-theory for second-order elliptic operators in divergence form with complex coefficients | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 34 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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