Interior Regularity for Regional Fractional Laplacian

Chenchen Mou; Yingfei Yi

doi:10.1007/s00220-015-2445-2

Interior Regularity for Regional Fractional Laplacian

Chenchen Mou^*, Yingfei Yi

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

21 Citations (Scopus)

Abstract

In this paper, we study interior regularity properties for the regional fractional Laplacian operator. We obtain the integer order differentiability of the regional fractional Laplacian, which solves a conjecture of Guan and Ma (Probab. Theory Related Fields 134:649–694, 2006). We further extend the integer order differentiability to the fractional order of the regional fractional Laplacian. Schauder estimates for the regional fractional Laplacian are also provided.

Original language	English
Pages (from-to)	233-251
Journal	Communications in Mathematical Physics
Volume	340
Issue number	1
Online published	15 Aug 2015
DOIs	https://doi.org/10.1007/s00220-015-2445-2
Publication status	Published - Nov 2015
Externally published	Yes

Access Output

10.1007/s00220-015-2445-2

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{3dc67fdb337e439d8e4024442bbebcb5,

title = "Interior Regularity for Regional Fractional Laplacian",

abstract = "In this paper, we study interior regularity properties for the regional fractional Laplacian operator. We obtain the integer order differentiability of the regional fractional Laplacian, which solves a conjecture of Guan and Ma (Probab. Theory Related Fields 134:649–694, 2006). We further extend the integer order differentiability to the fractional order of the regional fractional Laplacian. Schauder estimates for the regional fractional Laplacian are also provided.",

author = "Chenchen Mou and Yingfei Yi",

year = "2015",

month = nov,

doi = "10.1007/s00220-015-2445-2",

language = "English",

volume = "340",

pages = "233--251",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer",

number = "1",

}

TY - JOUR

T1 - Interior Regularity for Regional Fractional Laplacian

AU - Mou, Chenchen

AU - Yi, Yingfei

PY - 2015/11

Y1 - 2015/11

N2 - In this paper, we study interior regularity properties for the regional fractional Laplacian operator. We obtain the integer order differentiability of the regional fractional Laplacian, which solves a conjecture of Guan and Ma (Probab. Theory Related Fields 134:649–694, 2006). We further extend the integer order differentiability to the fractional order of the regional fractional Laplacian. Schauder estimates for the regional fractional Laplacian are also provided.

AB - In this paper, we study interior regularity properties for the regional fractional Laplacian operator. We obtain the integer order differentiability of the regional fractional Laplacian, which solves a conjecture of Guan and Ma (Probab. Theory Related Fields 134:649–694, 2006). We further extend the integer order differentiability to the fractional order of the regional fractional Laplacian. Schauder estimates for the regional fractional Laplacian are also provided.

UR - http://www.scopus.com/inward/record.url?scp=84941426770&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84941426770&origin=recordpage

U2 - 10.1007/s00220-015-2445-2

DO - 10.1007/s00220-015-2445-2

M3 - RGC 21 - Publication in refereed journal

SN - 0010-3616

VL - 340

SP - 233

EP - 251

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 1

ER -

Interior Regularity for Regional Fractional Laplacian

Abstract

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this