Resolvent estimates for the Stokes operator in bounded and exterior C1 domains

Jun Geng; Zhongwei Shen

doi:10.1007/s00208-024-02956-z

Resolvent estimates for the Stokes operator in bounded and exterior C1 domains

Research output: Contribution to journal › Article › peer-review

Abstract

We establish resolvent estimates in L^q spaces for the Stokes operator in a bounded C¹ domain Ω in R^d. As a corollary, it follows that the Stokes operator generates a bounded analytic semigroup in L^q(Ω;C^d) for any 1<q<∞ and d≥2. The case of an exterior C¹ domain is also studied.

Original language	English
Pages (from-to)	1467-1503
Number of pages	37
Journal	Mathematische Annalen
Volume	391
Issue number	1
DOIs	https://doi.org/10.1007/s00208-024-02956-z
State	Published - Jan 2025

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s00208-024-02956-z

Cite this

@article{3621880600aa4b6a902b30d4642e6345,

title = "Resolvent estimates for the Stokes operator in bounded and exterior C1 domains",

abstract = "We establish resolvent estimates in Lq spaces for the Stokes operator in a bounded C1 domain Ω in Rd. As a corollary, it follows that the Stokes operator generates a bounded analytic semigroup in Lq(Ω;Cd) for any 11 domain is also studied.",

author = "Jun Geng and Zhongwei Shen",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.",

year = "2025",

month = jan,

doi = "10.1007/s00208-024-02956-z",

language = "English",

volume = "391",

pages = "1467--1503",

number = "1",

}

TY - JOUR

T1 - Resolvent estimates for the Stokes operator in bounded and exterior C1 domains

AU - Geng, Jun

AU - Shen, Zhongwei

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.

PY - 2025/1

Y1 - 2025/1

N2 - We establish resolvent estimates in Lq spaces for the Stokes operator in a bounded C1 domain Ω in Rd. As a corollary, it follows that the Stokes operator generates a bounded analytic semigroup in Lq(Ω;Cd) for any 11 domain is also studied.

AB - We establish resolvent estimates in Lq spaces for the Stokes operator in a bounded C1 domain Ω in Rd. As a corollary, it follows that the Stokes operator generates a bounded analytic semigroup in Lq(Ω;Cd) for any 11 domain is also studied.

UR - http://www.scopus.com/inward/record.url?scp=85200394542&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85200394542&partnerID=8YFLogxK

U2 - 10.1007/s00208-024-02956-z

DO - 10.1007/s00208-024-02956-z

M3 - Article

AN - SCOPUS:85200394542

SN - 0025-5831

VL - 391

SP - 1467

EP - 1503

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 1

ER -

Resolvent estimates for the Stokes operator in bounded and exterior C1 domains

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this