A Remark on the Stokes Problem with Initial Data in L1

被引：17
|
作者：
Maremonti, P. [1 ]
机构：
[1] Univ Naples 2, Dipartimento Matemat, I-81100 Caserta, Italy
来源：
JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2011年 / 13卷 / 04期
关键词：
Stokes problem; well-posedeness;
D O I：
10.1007/s00021-010-0036-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we study the initial boundary value problem of the Stokes system. We assume the initial data belonging to the Lebesgue space L-1. We develop a suitable approach to discuss the existence, uniqueness and continuous dependence on the data. As matter of course, we also consider the case of the Lebesgue space L-p, p is an element of (1,infinity).
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页码：469 / 480
页数：12
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