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

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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

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10.1017/prm.2019.29

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Embeddings for the space on sets of finite perimeter

Abstract

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