REMARKS ON THE L~p-APPROACH TO THE STOKES EQUATION ON UNBOUNDED DOMAINS

Matthias Geissert; Horst Heck; Matthias Hieber; Okihiro Sawada

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REMARKS ON THE L~p-APPROACH TO THE STOKES EQUATION ON UNBOUNDED DOMAINS

机译：关于有界域上的斯托克斯方程的L〜p方法

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Consider a domain Ω is contained in R~n with uniform C~3-boundary and assume that the Helmholtz projection P exists on L~p(Ω) for some 1 < p < ∞. Of concern are recent results on the Stokes operator in L~P(Ω) generating an analytic semigroup on L~p(Ω) and admitting maximal L~p-L~q-regularity.

机译：考虑在R〜n中包含一个具有均匀C〜3边界的域Ω，并假定对于1 <∞，亥姆霍兹投影P存在于L〜p（Ω）上。令人关注的是最近在L〜P（Ω）中的Stokes算子的结果，在L〜p（Ω）上生成了一个解析半群，并允许最大的L〜p-L〜q正则性。

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来源
《Discrete and continuous dynamical systems▼hSeries S》 |2010年第2期|P.291-297|共7页
作者
Matthias Geissert; Horst Heck; Matthias Hieber; Okihiro Sawada;
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作者单位

Technische UniversitaEt Darmstadt Fachbereich Mathematik, Schlossgartenstr. 7 D-64289 Darmstadt, Germany;

rnTechnische UniversitaEt Darmstadt Fachbereich Mathematik, Schlossgartenstr. 7 D-64289 Darmstadt, Germany;

rnTechnische UniversitaEt Darmstadt Fachbereich Mathematik, Schlossgartenstr. 7 D-64289 Darmstadt, Germany;

rnTechnische UniversitaEt Darmstadt Fachbereich Mathematik, Schlossgartenstr. 7 D-64289 Darmstadt, Germany;

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正文语种 eng
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关键词
stokes equation; unbounded domains; noncompact boundary;

机译：斯托克斯方程无限域;非紧边界;

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REMARKS ON THE L~p-APPROACH TO THE STOKES EQUATION ON UNBOUNDED DOMAINS

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