Matches in SemOpenAlex for { <https://semopenalex.org/work/W4320032007> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W4320032007 abstract "We prove Besov regularity estimates for the solution of the Dirichlet problem involving the integral fractional Laplacian of order $s$ in bounded Lipschitz domains $Omega$: [ begin{aligned} |u|_{dot{B}^{s+r}_{2,infty}(Omega)} le C |f|_{L^2(Omega)}, & quad r = min{s,1/2}, & quad mbox{if } s neq 1/2, |u|_{dot{B}^{1-epsilon}_{2,infty}(Omega)} le C |f|_{L^2(Omega)}, & quad epsilon in (0,1), & quad mbox{if } s = 1/2, end{aligned} ] with explicit dependence of $C$ on $s$ and $epsilon$. These estimates are consistent with the regularity on smooth domains and show that there is no loss of regularity due to Lipschitz boundaries. The proof uses elementary ingredients, such as the variational structure of the problem and the difference quotient technique." @default.
- W4320032007 created "2023-02-12" @default.
- W4320032007 creator A5000833969 @default.
- W4320032007 creator A5040883953 @default.
- W4320032007 date "2021-10-06" @default.
- W4320032007 modified "2023-09-28" @default.
- W4320032007 title "Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains" @default.
- W4320032007 doi "https://doi.org/10.48550/arxiv.2110.02801" @default.
- W4320032007 hasPublicationYear "2021" @default.
- W4320032007 type Work @default.
- W4320032007 citedByCount "0" @default.
- W4320032007 crossrefType "posted-content" @default.
- W4320032007 hasAuthorship W4320032007A5000833969 @default.
- W4320032007 hasAuthorship W4320032007A5040883953 @default.
- W4320032007 hasBestOaLocation W43200320071 @default.
- W4320032007 hasConcept C10138342 @default.
- W4320032007 hasConcept C114614502 @default.
- W4320032007 hasConcept C121332964 @default.
- W4320032007 hasConcept C134306372 @default.
- W4320032007 hasConcept C13474197 @default.
- W4320032007 hasConcept C162324750 @default.
- W4320032007 hasConcept C169214877 @default.
- W4320032007 hasConcept C182306322 @default.
- W4320032007 hasConcept C182310444 @default.
- W4320032007 hasConcept C199422724 @default.
- W4320032007 hasConcept C202444582 @default.
- W4320032007 hasConcept C22324862 @default.
- W4320032007 hasConcept C2775913539 @default.
- W4320032007 hasConcept C2778113609 @default.
- W4320032007 hasConcept C2779557605 @default.
- W4320032007 hasConcept C33923547 @default.
- W4320032007 hasConcept C34388435 @default.
- W4320032007 hasConcept C62520636 @default.
- W4320032007 hasConceptScore W4320032007C10138342 @default.
- W4320032007 hasConceptScore W4320032007C114614502 @default.
- W4320032007 hasConceptScore W4320032007C121332964 @default.
- W4320032007 hasConceptScore W4320032007C134306372 @default.
- W4320032007 hasConceptScore W4320032007C13474197 @default.
- W4320032007 hasConceptScore W4320032007C162324750 @default.
- W4320032007 hasConceptScore W4320032007C169214877 @default.
- W4320032007 hasConceptScore W4320032007C182306322 @default.
- W4320032007 hasConceptScore W4320032007C182310444 @default.
- W4320032007 hasConceptScore W4320032007C199422724 @default.
- W4320032007 hasConceptScore W4320032007C202444582 @default.
- W4320032007 hasConceptScore W4320032007C22324862 @default.
- W4320032007 hasConceptScore W4320032007C2775913539 @default.
- W4320032007 hasConceptScore W4320032007C2778113609 @default.
- W4320032007 hasConceptScore W4320032007C2779557605 @default.
- W4320032007 hasConceptScore W4320032007C33923547 @default.
- W4320032007 hasConceptScore W4320032007C34388435 @default.
- W4320032007 hasConceptScore W4320032007C62520636 @default.
- W4320032007 hasLocation W43200320071 @default.
- W4320032007 hasOpenAccess W4320032007 @default.
- W4320032007 hasPrimaryLocation W43200320071 @default.
- W4320032007 hasRelatedWork W1523567929 @default.
- W4320032007 hasRelatedWork W1588396333 @default.
- W4320032007 hasRelatedWork W2066088393 @default.
- W4320032007 hasRelatedWork W2088830136 @default.
- W4320032007 hasRelatedWork W2278232989 @default.
- W4320032007 hasRelatedWork W2559188615 @default.
- W4320032007 hasRelatedWork W2805492972 @default.
- W4320032007 hasRelatedWork W2962710398 @default.
- W4320032007 hasRelatedWork W3104369339 @default.
- W4320032007 hasRelatedWork W4220896574 @default.
- W4320032007 isParatext "false" @default.
- W4320032007 isRetracted "false" @default.
- W4320032007 workType "article" @default.