2024-03-28T17:54:58Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/698852022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116On the Stokes resolvent estimates for cylindrical domainsAbe, KenGIGA, YOSHIKAZUSchade, K.Suzuki, TakuyaL∞-type resolvent estimatescylindrical domainStokes equations,admissible domain.410This paper studies the analyticity of the Stokes semigroup in an infinite cylinder or more generally a cylindrical domain with several exits to infinity in the space C0; , the L 1 -closure of all smooth compactly supported solenoidal vector fields. These domains are not strictly admissible in the sense of the first two authors (2014). However, it is shown that these domains are still admissible which yields the analyticity in C0; . A new proof based on a blow-up argument is given to derive an L 1 -type resolvent estimate which enables us to conclude that the analyticity angle of the Stokes semigroup in C0; is =2.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69885info:doi/10.14943/84225https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69885/1/pre1081.pdfHokkaido University Preprint Series in Mathematics10812332015-11-25engpublisher