Home
Deutsch
Advanced Search
Browse by ...
Publication overview
Contact persons
Help
Publ. Version/Full Text
DOI
 |
Free by publisher |
Open Access Green as soon as Postprint is submitted to ZB.
Quantitative estimates on localized finite differences for the fractional poisson problem, and applications to regularity and spectral stability.
Commun. Math. Sci. 16, 913-961 (2018)
Publ. Version/Full Text
DOI
We establish new quantitative estimates for localized finite differences of solutions to the Poisson problem for the fractional Laplace operator with homogeneous Dirichlet conditions of solid type settled in bounded domains satisfying the Lipschitz cone regularity condition. We then apply these estimates to obtain (i) regularity results for solutions of fractional Poisson problems in Besov spaces; (ii) quantitative stability estimates for solutions of fractional Poisson problems with respect to domain perturbations; (iii) quantitative stability estimates for eigenvalues and eigenfunctions of fractional Laplace operators with respect to domain perturbations.
Altmetric
Additional Metrics?
Edit extra informations
Login
Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Porous-medium Equations; Mu-transmission; Laplacian; Operators; Domains; Dirichlet; Sobolev; Spaces
ISSN (print) / ISBN
1539-6746
e-ISSN
1539-6746
Quellenangaben
Volume: 16,
Issue: 4,
Pages: 913-961
Publisher
International Press
Publishing Place
Somerville, Mass.
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)