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Hokkaido University Preprint Series in Mathematics >
Stokes Resolvent Estimates in Spaces of Bounded Functions
| Title: | Stokes Resolvent Estimates in Spaces of Bounded Functions |
| Authors: | Abe, Ken Browse this author | | Giga, Yoshikazu Browse this author | | Hieber, Matthias Browse this author |
| Keywords: | Analytic semigroups | | Bounded function spaces | | Resolvent estimates | | Stokes equations |
| Issue Date: | 12-Nov-2012 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1022 |
| Start Page: | 1 |
| End Page: | 24 |
| Abstract: | We give a direct proof for the analyticity of the Stokes semigroup in spaces of bounded functions. This was recently proved by an indirect argument by the first and second authors for a class of domains called strictly admissible domains including bounded and exterior domains. Invoking the strictly admissibility, our approach is based on an adjustment of a standard resolvent estimate method for general elliptic operators introduced by K. Masuda (1972) and H. B. Stewart (1974). The resolvent approach in particular clarifies the sectorial region, Re z > 0 for z ∈ C for which the Stokes semigroup has an analytic continuation in spaces of bounded functions. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69827 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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