Higher integrability of Green's operator and homotopy operator

Yuming Xing; Shusen Ding

doi:10.1016/j.jmaa.2016.09.007

Higher integrability of Green's operator and homotopy operator

Yuming Xing^*
, Shusen Ding

^*Corresponding author for this work

School of Mathematics

Seattle University

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

3 Scopus citations

Abstract

We prove the higher integrability and higher order imbedding theorems of the composition of homotopy operator and Green's operator. We also study analogues of the homotopy operator and Green's operator, respectively.

Original language	English
Pages (from-to)	648-662
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	446
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2016.09.007
State	Published - 1 Feb 2017

Keywords

Differential forms
Green's operator
Higher integrability
Homotopy operator
Imbedding theorems

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10.1016/j.jmaa.2016.09.007

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title = "Higher integrability of Green's operator and homotopy operator",

abstract = "We prove the higher integrability and higher order imbedding theorems of the composition of homotopy operator and Green's operator. We also study analogues of the homotopy operator and Green's operator, respectively.",

keywords = "Differential forms, Green's operator, Higher integrability, Homotopy operator, Imbedding theorems",

author = "Yuming Xing and Shusen Ding",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2017",

month = feb,

day = "1",

doi = "10.1016/j.jmaa.2016.09.007",

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T1 - Higher integrability of Green's operator and homotopy operator

AU - Xing, Yuming

AU - Ding, Shusen

PY - 2017/2/1

Y1 - 2017/2/1

N2 - We prove the higher integrability and higher order imbedding theorems of the composition of homotopy operator and Green's operator. We also study analogues of the homotopy operator and Green's operator, respectively.

AB - We prove the higher integrability and higher order imbedding theorems of the composition of homotopy operator and Green's operator. We also study analogues of the homotopy operator and Green's operator, respectively.

KW - Differential forms

KW - Green's operator

KW - Higher integrability

KW - Homotopy operator

KW - Imbedding theorems

UR - https://www.scopus.com/pages/publications/84994309607

U2 - 10.1016/j.jmaa.2016.09.007

DO - 10.1016/j.jmaa.2016.09.007

M3 - 文章

AN - SCOPUS:84994309607

SN - 0022-247X

VL - 446

SP - 648

EP - 662

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Higher integrability of Green's operator and homotopy operator

Abstract

Keywords

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