A maximum modulus theorem for the Oseen problem

被引：2
|
作者：
Kracmar, S. [1 ]
Medkova, D. [2 ]
Necasova, S. [2 ]
Varnhorn, W. [3 ]
机构：
[1] Czech Tech Univ, Dept Tech Math, Prague 12135 2, Czech Republic
[2] Acad Sci Czech Republ, Math Inst, CR-11567 Prague 1, Czech Republic
[3] Univ Kassel, Fac Math, D-34109 Kassel, Germany
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2013年 / 192卷 / 06期
关键词：
Oseen problem; Maximum modulus theorem; Oseen potentials; Uniqueness; Non-tangential limit; Theorem of Liouville type; BOUNDARY-VALUE-PROBLEMS; STOKES EQUATIONS; DIRICHLET PROBLEM; REGULARITY; SYSTEM; DECAY;
D O I：
10.1007/s10231-012-0258-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Classical solutions of the Oseen problem are studied on an exterior domain Omega with Ljapunov boundary in R (3). It is proved a maximum modulus estimate of the following form: If u C-2(Omega)(3) and P epsilon C-1(Omega),-Delta u+2 lambda rho 1u+del. u=0 Omega and if broken vertical bar u vertical bar <= M on rho Omega , then in Omega. Here the constant c depends only on Omega and lambda.
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页码：1059 / 1076
页数：18
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