Lp-theory for the Stokes system in 3D domains with conical boundary points

被引：0

作者：

Deuring, P ^{[1
]}

机构：

[1] Univ Halle Wittenberg, Fachbereich Math & Informat, Inst Anal, D-06099 Halle, Germany

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 1998年 / 47卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article deals with the Stokes system in 3D interior and exterior domains with conical boundary points. Solutions verifying a Dirichlet or a no-slip boundary condition are shown to exist in suitable L-p-spaces. By means of the boundary potential method, this L-P-theory is reduced to the Fredholm properties of certain integral operators involving singular integrals on the boundary of the respective domains.

引用

页码：11 / 47

页数：37

共 50 条

[31] Lp-theory for a generalized nonlinear viscoelastic fluid model of differential type in various domains
Geissert, Matthias
Goetz, Dario
Nesensohn, Manuel
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (13) : 5015 - 5026
[32] Degenerate integrodifferential equations of parabolic type with Robin boundary conditions: Lp-theory
Favini, Angelo
Lorenzi, Alfredo
Tanabe, Hiroki
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 447 (01) : 579 - 665
[33] ON QUASILINEAR ELLIPTIC-EQUATIONS IN DOMAINS WITH CONICAL BOUNDARY POINTS
DOBROWOLSKI, M
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1989, 394 : 186 - 195
[34] A weighted Lp-theory for parabolic PDEs with BMO coefficients on C1-domains
Kim, Kyeong-Hun
Lee, Kijung
JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 254 (02) : 368 - 407
[35] Stationary Navier–Stokes equations under inhomogeneous boundary conditions in 3D exterior domains
Matthias Hieber
Hideo Kozono
Anton Seyfert
Senjo Shimizu
Taku Yanagisawa
Calculus of Variations and Partial Differential Equations, 2021, 60
[36] Navier-Stokes equations in 3D thin domains with Navier friction boundary condition
Hu, Changbing
JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 236 (01) : 133 - 163
[37] Lp-theory on a class of non-local parabolic boundary value problems
Zhitarashu, NV
Eidel'man, SD
DOKLADY AKADEMII NAUK, 1997, 356 (04) : 445 - 448
[38] Lp-theory for some elliptic and parabolic problems with first order degeneracy at the boundary
Fornaro, Simona
Metafune, Giorgio
Pallara, Diego
Pruess, Jan
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2007, 87 (04): : 367 - 393
[39] Approximation of 3D Stokes Flows in Fractal Domains
Cefalo, Massimo
Creo, Simone
Gallo, Mirko
Lancia, Maria Rosaria
Vernole, Paola
FRACTALS IN ENGINEERING: THEORETICAL ASPECTS AND NUMERICAL APPROXIMATIONS, 2021, 8 : 27 - 53
[40] Weighted Lp-theory for vector potential operators in three-dimensional exterior domains
Louati, Hela
Meslameni, Mohamed
Razafison, Ulrich
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (08) : 1990 - 2010

← 1 2 3 4 5 →