Regularity of spectral fractional Dirichlet and Neumann problems
type: Item
instance of: scholarly article
title: Regularity of spectral fractional Dirichlet and Neumann problems
zbMATH Open document ID: 1448.47062
published in: Mathematische Nachrichten
publication date: 2016-05-26T00:00:00Z
full work available at URL: https://arxiv.org/abs/1412.3744
Mathematics Subject Classification ID: 47G30
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 47F10
Mathematics Subject Classification ID: 35S15
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 6585643
zbMATH Keywords: spectral fractional Laplacian
zbMATH Keywords: Dirichlet and Neumann problems
zbMATH Keywords: $L_p$ Sobolev regularity
zbMATH Keywords: Hölder regularity
zbMATH Keywords: nonsmooth coefficients
author: Gerd Grubb
MaRDI profile type: Publication
OpenAlex ID: W3122525509
arXiv ID: 1412.3744
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DOI: 10.1002/MANA.201500041
review text: The present article is concerned with the regularity of spectral fractional Dirichlet and Neumann problems. Restricted and spectral Dirichlet fractional Laplacians and their regularity properties in Sobolev space were already studied by various authors. This article mainly presents results related to regularity properties of the spectral Neumann fractional Laplacian. The regularity properties are extended to nonsmooth situations. Also, boundary problems associated to restricted and spectral Dirichlet and Neumann fractional Laplacian are discussed. Two interesting Neumann cases are discussed.
reviewed by: Upain Kumar Mandal
description: scientific article; zbMATH DE number 6585643