Remark on the Lq - L∞ estimate of the Stokes semigroup in a 2-dimensional exterior domain

Wakako Dan; Yoshihiro Shibata

doi:10.2140/pjm.1999.189.223

Remark on the L_q - L∞ estimate of the Stokes semigroup in a 2-dimensional exterior domain

Wakako Dan^*, Yoshihiro Shibata

^*Corresponding author for this work

School of Fundamental Science and Engineering

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

34 Citations (Scopus)

Abstract

We proved L_q - L∞ type estimates of the Stokes semigroup in a 2-dimensional exterior domain. Our proof is based on the investigation of the asymptotic behavior of the resolvent of the Stokes operator near the origin.

Original language	English
Pages (from-to)	223-239
Number of pages	17
Journal	Pacific Journal of Mathematics
Volume	189
Issue number	2
DOIs	https://doi.org/10.2140/pjm.1999.189.223
Publication status	Published - 1999 Jun

ASJC Scopus subject areas

Mathematics(all)

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10.2140/pjm.1999.189.223

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title = "Remark on the Lq - L∞ estimate of the Stokes semigroup in a 2-dimensional exterior domain",

abstract = "We proved Lq - L∞ type estimates of the Stokes semigroup in a 2-dimensional exterior domain. Our proof is based on the investigation of the asymptotic behavior of the resolvent of the Stokes operator near the origin.",

author = "Wakako Dan and Yoshihiro Shibata",

year = "1999",

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doi = "10.2140/pjm.1999.189.223",

language = "English",

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pages = "223--239",

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T1 - Remark on the Lq - L∞ estimate of the Stokes semigroup in a 2-dimensional exterior domain

AU - Dan, Wakako

AU - Shibata, Yoshihiro

PY - 1999/6

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N2 - We proved Lq - L∞ type estimates of the Stokes semigroup in a 2-dimensional exterior domain. Our proof is based on the investigation of the asymptotic behavior of the resolvent of the Stokes operator near the origin.

AB - We proved Lq - L∞ type estimates of the Stokes semigroup in a 2-dimensional exterior domain. Our proof is based on the investigation of the asymptotic behavior of the resolvent of the Stokes operator near the origin.

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JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

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Remark on the L_q - L∞ estimate of the Stokes semigroup in a 2-dimensional exterior domain

Abstract

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