Embeddings for the space on sets of finite perimeter

Nikolai V. Chemetov; Anna L. Mazzucato

doi:10.1017/prm.2019.29

Embeddings for the space on sets of finite perimeter

Nikolai V. Chemetov
, Anna L. Mazzucato

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

1 Scopus citations

Abstract

Given an open set with finite perimeter, we consider the space, LDpγ(Ω), 1 ≤p < ∞, of functions with pth-integrable deformation tensor on Ω and with pth-integrable trace value on the essential boundary of Ω. We establish the continuous embedding. The space and this embedding arise naturally in studying the motion of rigid bodies in a viscous, incompressible fluid.

Original language	English (US)
Pages (from-to)	2442-2461
Number of pages	20
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	150
Issue number	5
DOIs	https://doi.org/10.1017/prm.2019.29
State	Published - Oct 1 2020

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1017/prm.2019.29

Cite this

@article{79bd845c2a5748c195f0281be1443eef,

title = "Embeddings for the space on sets of finite perimeter",

abstract = "Given an open set with finite perimeter, we consider the space, LDpγ(Ω), 1 ≤p < ∞, of functions with pth-integrable deformation tensor on Ω and with pth-integrable trace value on the essential boundary of Ω. We establish the continuous embedding. The space and this embedding arise naturally in studying the motion of rigid bodies in a viscous, incompressible fluid.",

author = "Chemetov, \{Nikolai V.\} and Mazzucato, \{Anna L.\}",

note = "Publisher Copyright: Copyright {\textcopyright} Royal Society of Edinburgh 2019.",

year = "2020",

month = oct,

day = "1",

doi = "10.1017/prm.2019.29",

language = "English (US)",

volume = "150",

pages = "2442--2461",

journal = "Proceedings of the Royal Society of Edinburgh Section A: Mathematics",

issn = "0308-2105",

publisher = "Cambridge University Press",

number = "5",

}

TY - JOUR

T1 - Embeddings for the space on sets of finite perimeter

AU - Chemetov, Nikolai V.

AU - Mazzucato, Anna L.

PY - 2020/10/1

Y1 - 2020/10/1

N2 - Given an open set with finite perimeter, we consider the space, LDpγ(Ω), 1 ≤p < ∞, of functions with pth-integrable deformation tensor on Ω and with pth-integrable trace value on the essential boundary of Ω. We establish the continuous embedding. The space and this embedding arise naturally in studying the motion of rigid bodies in a viscous, incompressible fluid.

AB - Given an open set with finite perimeter, we consider the space, LDpγ(Ω), 1 ≤p < ∞, of functions with pth-integrable deformation tensor on Ω and with pth-integrable trace value on the essential boundary of Ω. We establish the continuous embedding. The space and this embedding arise naturally in studying the motion of rigid bodies in a viscous, incompressible fluid.

UR - https://www.scopus.com/pages/publications/85065452706

UR - https://www.scopus.com/pages/publications/85065452706#tab=citedBy

U2 - 10.1017/prm.2019.29

DO - 10.1017/prm.2019.29

M3 - Article

AN - SCOPUS:85065452706

SN - 0308-2105

VL - 150

SP - 2442

EP - 2461

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

IS - 5

ER -

Embeddings for the space on sets of finite perimeter

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this