Multi-parameter Div-Curl lemmas

Michael T. Lacey; Stefanie Petermichl; Jill C. Pipher; Brett D. Wick

doi:10.1112/blms/bds037

Multi-parameter Div-Curl lemmas

Michael T. Lacey
, Stefanie Petermichl
, Jill C. Pipher
, Brett D. Wick

Department of Mathematics

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

12 Scopus citations

Abstract

We study the possible analogues of the Div-Curl lemma in classical harmonic analysis and partial differential equations, but from the point of view of the multi-parameter setting. In this context, we see two possible Div-Curl lemmas that arise. Extensions to differential forms are also given.

Original language	English
Pages (from-to)	1123-1131
Number of pages	9
Journal	Bulletin of the London Mathematical Society
Volume	44
Issue number	6
DOIs	https://doi.org/10.1112/blms/bds037
State	Published - Dec 2012

Access to Document

10.1112/blms/bds037

Cite this

@article{dbaad21634d440b4b676eab15f7083f9,

title = "Multi-parameter Div-Curl lemmas",

abstract = "We study the possible analogues of the Div-Curl lemma in classical harmonic analysis and partial differential equations, but from the point of view of the multi-parameter setting. In this context, we see two possible Div-Curl lemmas that arise. Extensions to differential forms are also given.",

author = "Lacey, \{Michael T.\} and Stefanie Petermichl and Pipher, \{Jill C.\} and Wick, \{Brett D.\}",

year = "2012",

month = dec,

doi = "10.1112/blms/bds037",

language = "English",

volume = "44",

pages = "1123--1131",

journal = "Bulletin of the London Mathematical Society",

issn = "0024-6093",

number = "6",

}

TY - JOUR

T1 - Multi-parameter Div-Curl lemmas

AU - Lacey, Michael T.

AU - Petermichl, Stefanie

AU - Pipher, Jill C.

AU - Wick, Brett D.

PY - 2012/12

Y1 - 2012/12

N2 - We study the possible analogues of the Div-Curl lemma in classical harmonic analysis and partial differential equations, but from the point of view of the multi-parameter setting. In this context, we see two possible Div-Curl lemmas that arise. Extensions to differential forms are also given.

AB - We study the possible analogues of the Div-Curl lemma in classical harmonic analysis and partial differential equations, but from the point of view of the multi-parameter setting. In this context, we see two possible Div-Curl lemmas that arise. Extensions to differential forms are also given.

UR - https://www.scopus.com/pages/publications/84869397790

U2 - 10.1112/blms/bds037

DO - 10.1112/blms/bds037

M3 - Article

AN - SCOPUS:84869397790

SN - 0024-6093

VL - 44

SP - 1123

EP - 1131

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 6

ER -

Multi-parameter Div-Curl lemmas

Abstract

Access to Document

Other files and links

Fingerprint

Cite this