Maximal Lp – Lq regularity for the quasi-steady elliptic problems

Ken Furukawa; Naoto Kajiwara

doi:10.1007/s00028-020-00638-2

Maximal L_p – L_q regularity for the quasi-steady elliptic problems

Ken Furukawa, Naoto Kajiwara^*

^*この論文の責任著者

理学科　数理情報学プログラム

研究成果: ジャーナルへの寄稿 › 学術論文 › 査読

1 被引用数 (Scopus)

抄録

In this paper, we consider maximal regularity for the vector-valued quasi-steady linear elliptic problems. The equations are the elliptic equation in the domain and the evolution equations on its boundary. We prove the maximal L_p–L_q regularity for these problems and give examples that our results are applicable. The Lopatinskii–Shapiro and the asymptotic Lopatinskii–Shapiro conditions are important to get boundedness of solution operators.

本文言語	英語
ページ（範囲）	1601-1625
ページ数	25
ジャーナル	Journal of Evolution Equations
巻	21
号	2
DOI	https://doi.org/10.1007/s00028-020-00638-2
出版ステータス	出版済み - 2021/06

ASJC Scopus 主題領域

数学（その他）

文献へのアクセス

10.1007/s00028-020-00638-2

引用スタイル

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abstract = "In this paper, we consider maximal regularity for the vector-valued quasi-steady linear elliptic problems. The equations are the elliptic equation in the domain and the evolution equations on its boundary. We prove the maximal Lp–Lq regularity for these problems and give examples that our results are applicable. The Lopatinskii–Shapiro and the asymptotic Lopatinskii–Shapiro conditions are important to get boundedness of solution operators.",

keywords = "Maximal L–L regularity, Quasi-steady problems",

author = "Ken Furukawa and Naoto Kajiwara",

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year = "2021",

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doi = "10.1007/s00028-020-00638-2",

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AU - Kajiwara, Naoto

PY - 2021/6

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N2 - In this paper, we consider maximal regularity for the vector-valued quasi-steady linear elliptic problems. The equations are the elliptic equation in the domain and the evolution equations on its boundary. We prove the maximal Lp–Lq regularity for these problems and give examples that our results are applicable. The Lopatinskii–Shapiro and the asymptotic Lopatinskii–Shapiro conditions are important to get boundedness of solution operators.

AB - In this paper, we consider maximal regularity for the vector-valued quasi-steady linear elliptic problems. The equations are the elliptic equation in the domain and the evolution equations on its boundary. We prove the maximal Lp–Lq regularity for these problems and give examples that our results are applicable. The Lopatinskii–Shapiro and the asymptotic Lopatinskii–Shapiro conditions are important to get boundedness of solution operators.

KW - Maximal L–L regularity

KW - Quasi-steady problems

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Maximal Lp – Lq regularity for the quasi-steady elliptic problems

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ASJC Scopus 主題領域

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引用スタイル

Maximal L_p – L_q regularity for the quasi-steady elliptic problems