On a resolvent estimate of the Stokes equation on an infinite layer

被引:31
作者
Abe, T [1 ]
Shibata, Y [1 ]
机构
[1] Waseda Univ, Sch Sci & Engn, Dept Math Sci, Adv Res Inst Sci & Engn,Shinjuku Ku, Tokyo 1698555, Japan
关键词
Stokes equation; infinite layer; resolvent problem;
D O I
10.2969/jmsj/1191419127
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper is concerned with the standard L-p estimate of solutions to the resolvent problem for the Stokes operator on an infinite layer.
引用
收藏
页码:469 / 497
页数:29
相关论文
共 10 条
[1]  
ABE T, IN PRESS STOKES NAVI
[2]   ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].
AGMON, S ;
DOUGLIS, A ;
NIRENBERG, L .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1959, 12 (04) :623-727
[3]   GENERALIZED RESOLVENT ESTIMATES FOR THE STOKES SYSTEM IN BOUNDED AND UNBOUNDED-DOMAINS [J].
FARWIG, R ;
SOHR, H .
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1994, 46 (04) :607-643
[4]  
Galdi G.P., 1994, INTRO MATH THEORY NA, VI
[5]   Exterior problem for the stationary Navier-Stokes equations in the Lorentz space [J].
Kozono, H ;
Yamazaki, M .
MATHEMATISCHE ANNALEN, 1998, 310 (02) :279-305
[6]   The Asymptotic Properties of the Solution to the Stokes Problem in Domains That Are Layer-Like at Infinity [J].
Nazarov, S. A. ;
Pileckas, K. .
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 1999, 1 (02) :131-167
[7]   On the Solvability of the Stokes and Navier-Stokes Problems in the Domains That Are Layer-Like at Infinity [J].
Nazarov, S. A. ;
Pileckas, K. .
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 1999, 1 (01) :78-116
[8]  
Simader C.G., 1972, Springer Lecture Notes, V268
[9]  
STEIN EM, 1970, SINGULAR INTEGRALS D
[10]  
TRIEBEL H, 1995, INTERPOLATION THEORY