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

Jun Geng
, Zhongwei Shen

Producción científica: Article › revisión exhaustiva

3 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	1467-1503
Número de páginas	37
Publicación	Mathematische Annalen
Volumen	391
N.º	1
DOI	https://doi.org/10.1007/s00208-024-02956-z
Estado	Published - ene 2025

Nota bibliográfica

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

Financiación

Jun Geng: Supported in part by NNSF grant 12371096. Zhongwei Shen: Supported in part by NSF grant DMS-2153585.

Financiadores	Número del financiador
National Science Foundation Arctic Social Science Program	DMS-2153585, 2153585
National Natural Science Foundation of China (NSFC)	12371096

ASJC Scopus subject areas

General Mathematics

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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.",

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AU - Shen, Zhongwei

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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.

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

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