## ＜学術雑誌論文＞Resolvent estimates for the linearized compressible Navier-Stokes equation in an infinite layer

作成者 著者識別子 作成者名 所属機関 所属機関名 Faculty of Mathematics, Kyushu University 九州大学大学院数理学研究院 英語 日本数学会函数方程式論分科会 the Division of Functional Equations, The Mathematical Society of Japan 2007-08-14 50 2 287 337 Accepted Manuscript open access The resolvent problem of the linearized compressible Navier-Stokes equation around a given constant state is considered in an infinite layer $R^{n−1} \times (0, a)$, $n geq 2$, under the no slip b...oundary condition for the momentum. It is proved that the linearized operator is sectorial in $W^{1,p} \times L^p$ for $1 < p < infty$. The $L^p$ estimates for the resolvent are established for all $1 leq p leq infty$. The estimates for the high frequency part of the resolvent are also derived, which lead to the exponential decay of the corresponding part of the semigroup.続きを見る

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レコードID 3392 査読無 (c) 2007 the Division of Functional Equations, The Mathematical Society of Japan Kyushu University Preprint Series in Mathematics ; 2006-22 Funkcialaj Ekvacioj || 50(2) || p287-337 http://www.math.kyushu-u.ac.jp/gakufu/ 0532-8721 10.1619/fesi.50.287 Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality 九州大学21世紀COEプログラム「機能数理学の構築と展開」 学術雑誌論文 2009.04.22 2017.01.24