Translator Disclaimer
March/April 2010 Reflection principles and kernels in $\mathbb R^n_+$ for the biharmonic and Stokes operators. Solutions in a large class of weighted Sobolev spaces
Chérif Amrouche, Yves Raudin
Adv. Differential Equations 15(3/4): 201-230 (March/April 2010).

Abstract

In this paper, we study the Stokes system in the half-space $\mathbb{R}^n_+$, with $n {\geqslant} 2$. We consider data and give solutions which live in weighted Sobolev spaces, for a whole scale of weights. We start to study the kernels of the biharmonic and Stokes operators. After the central case of the generalized solutions, we are interested in strong solutions and symmetrically in very weak solutions by means of a duality argument.

Citation

Download Citation

Chérif Amrouche. Yves Raudin. "Reflection principles and kernels in $\mathbb R^n_+$ for the biharmonic and Stokes operators. Solutions in a large class of weighted Sobolev spaces." Adv. Differential Equations 15 (3/4) 201 - 230, March/April 2010.

Information

Published: March/April 2010
First available in Project Euclid: 18 December 2012

zbMATH: 1193.35030
MathSciNet: MR2588448

Subjects:
Primary: 35J50, 35J55, 35Q30, 76D07, 76N10

Rights: Copyright © 2010 Khayyam Publishing, Inc.

JOURNAL ARTICLE
30 PAGES


SHARE
Vol.15 • No. 3/4 • March/April 2010
Back to Top