New estimates for the div, curl, grad operators and elliptic problems with <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>-data in the half-space-Reference-Cited by-同舟云学术

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New estimates for the div, curl, grad operators and elliptic problems with L1-data in the half-space

Published:2011-05 Issue:5 Volume:24 Page:697-702
ISSN:0893-9659
Container-title:Applied Mathematics Letters
language:en
Short-container-title:Applied Mathematics Letters

Author:

Amrouche Chérif,Nguyen Huy Hoang

Funder

FAPESP

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference8 articles.

1. Weighted Sobolev spaces for the Laplace equation in Rn;Amrouche;Journal de Mathematiques Pures et Appliquees,1994

2. On the equation divY=f and application to control of phases;Bourgain;Journal of the American Mathematical Society,2002

3. New estimates for elliptic equations and Hodge type systems;Bourgain;Journal of the European Mathematical Society,2007

4. Boundary estimates for elliptic systems with L1-data;Brézis;Calculus of Variations and Partial Differential Equations,2007

5. Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition;Amrouche;Acta Mathematica Scientia,2001

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On Sobolev regularity of solutions to Fokker– Planck–Kolmogorov equations with drifts in $L^1$;Rendiconti Lincei - Matematica e Applicazioni;2019-04-01

2. L1 Sobolev estimates for (pseudo)-differential operators and applications;Mathematische Nachrichten;2016-01-29

3. Limiting Bourgain-Brezis estimates for systems of linear differential equations: Theme and variations;J FIX POINT THEORY A;2014

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