Weak vector and scalar potentials: Applications to poincarés theorem and korns inequality in sobolev spaces with negative exponents

Chérif Amrouche; Philippe G. Ciarlet; Patrick Ciarlet

doi:10.1142/S0219530510001497

Weak vector and scalar potentials: Applications to poincarés theorem and korns inequality in sobolev spaces with negative exponents

Chérif Amrouche, Philippe G. Ciarlet, Patrick Ciarlet

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we present several results concerning vector potentials and scalar potentials with data in Sobolev spaces with negative exponents, in a not necessarily simply-connected, three-dimensional domain. We then apply these results to Poincaré's theorem and to Korn's inequality.

Original language	English
Pages (from-to)	1-17
Number of pages	17
Journal	Analysis and Applications
Volume	8
Issue number	1
DOIs	https://doi.org/10.1142/S0219530510001497
Publication status	Published - 1 Jan 2010

Keywords

Korn's inequality
Poincaré's theorem

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title = "Weak vector and scalar potentials: Applications to poincar{\'e}s theorem and korns inequality in sobolev spaces with negative exponents",

abstract = "In this paper, we present several results concerning vector potentials and scalar potentials with data in Sobolev spaces with negative exponents, in a not necessarily simply-connected, three-dimensional domain. We then apply these results to Poincar{\'e}'s theorem and to Korn's inequality.",

keywords = "Korn's inequality, Poincar{\'e}'s theorem",

author = "Ch{\'e}rif Amrouche and Ciarlet, \{Philippe G.\} and Patrick Ciarlet",

year = "2010",

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doi = "10.1142/S0219530510001497",

language = "English",

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journal = "Analysis and Applications",

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T2 - Applications to poincarés theorem and korns inequality in sobolev spaces with negative exponents

AU - Amrouche, Chérif

AU - Ciarlet, Philippe G.

AU - Ciarlet, Patrick

PY - 2010/1/1

Y1 - 2010/1/1

N2 - In this paper, we present several results concerning vector potentials and scalar potentials with data in Sobolev spaces with negative exponents, in a not necessarily simply-connected, three-dimensional domain. We then apply these results to Poincaré's theorem and to Korn's inequality.

AB - In this paper, we present several results concerning vector potentials and scalar potentials with data in Sobolev spaces with negative exponents, in a not necessarily simply-connected, three-dimensional domain. We then apply these results to Poincaré's theorem and to Korn's inequality.

KW - Korn's inequality

KW - Poincaré's theorem

U2 - 10.1142/S0219530510001497

DO - 10.1142/S0219530510001497

M3 - Article

AN - SCOPUS:77951545018

SN - 0219-5305

VL - 8

SP - 1

EP - 17

JO - Analysis and Applications

JF - Analysis and Applications

IS - 1

ER -

Weak vector and scalar potentials: Applications to poincarés theorem and korns inequality in sobolev spaces with negative exponents

Abstract

Keywords

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