UM
HEAT KERNEL ESTIMATES FOR DIRICHLET FRACTIONAL LAPLACIAN WITH GRADIENT PERTURBATION
Chen, Peng1; Song, Renming2; Xie, Longjie3; Xie, Yingchao3
2019
Source PublicationJOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
ISSN0304-9914
Volume56Issue:1Pages:91-111
AbstractWe give a direct proof of the sharp two-sided estimates, recently established in [4, 9], for the Dirichlet heat kernel of the fractional Laplacian with gradient perturbation in C-1(,1) open sets by using Duhamel's formula. We also obtain a gradient estimate for the Dirichlet heat kernel. Our assumption on the open set is slightly weaker in that we only require D to be C-1,C-theta for some theta is an element of (alpha/2,1].
Keywordisotropic stable process fractional Laplacian Dirichlet heat kernel Kato class gradient estimate
DOI10.4134/JKMS.j180065
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000454512200007
PublisherKOREAN MATHEMATICAL SOC
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Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.Univ Macau, Dept Math, Macau, Peoples R China;
2.Univ Illinois, Dept Math, Urbana, IL 61801 USA;
3.Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221000, Jiangsu, Peoples R China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Chen, Peng,Song, Renming,Xie, Longjie,et al. HEAT KERNEL ESTIMATES FOR DIRICHLET FRACTIONAL LAPLACIAN WITH GRADIENT PERTURBATION[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY,2019,56(1):91-111.
APA Chen, Peng,Song, Renming,Xie, Longjie,&Xie, Yingchao.(2019).HEAT KERNEL ESTIMATES FOR DIRICHLET FRACTIONAL LAPLACIAN WITH GRADIENT PERTURBATION.JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY,56(1),91-111.
MLA Chen, Peng,et al."HEAT KERNEL ESTIMATES FOR DIRICHLET FRACTIONAL LAPLACIAN WITH GRADIENT PERTURBATION".JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY 56.1(2019):91-111.
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