FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3048652824> ?p ?o ?g. }

• W3048652824 endingPage "108732" @default.
• W3048652824 startingPage "108732" @default.
• W3048652824 abstract "We analyze the s-dependence of solutions us to the family of fractional Poisson problems(−Δ)su=fin Ω,u≡0on RN∖Ω in an open bounded set Ω⊂RN, s∈(0,1). In the case where Ω is of class C2 and f∈Cα(Ω‾) for some α>0, we show that the map (0,1)→L∞(Ω), s↦us is of class C1, and we characterize the derivative ∂sus in terms of the logarithmic Laplacian of f. As a corollary, we derive pointwise monotonicity properties of the solution map s↦us under suitable assumptions on f and Ω. Moreover, we derive explicit bounds for the corresponding Green operator on arbitrary bounded domains which are new even for the case s=1, i.e., for the local Dirichlet problem −Δu=f in Ω, u≡0 on ∂Ω." @default.
• W3048652824 created "2020-08-18" @default.
• W3048652824 creator A5045719093 @default.
• W3048652824 creator A5062208839 @default.
• W3048652824 creator A5085774303 @default.
• W3048652824 date "2020-12-01" @default.
• W3048652824 modified "2023-10-03" @default.
• W3048652824 title "A new look at the fractional Poisson problem via the logarithmic Laplacian" @default.
• W3048652824 cites W1486075816 @default.
• W3048652824 cites W1563131180 @default.
• W3048652824 cites W2044540619 @default.
• W3048652824 cites W2047618134 @default.
• W3048652824 cites W2048891896 @default.
• W3048652824 cites W2066452322 @default.
• W3048652824 cites W2068042821 @default.
• W3048652824 cites W2072045197 @default.
• W3048652824 cites W2130440873 @default.
• W3048652824 cites W2138569128 @default.
• W3048652824 cites W2145659495 @default.
• W3048652824 cites W2464346603 @default.
• W3048652824 cites W2613667239 @default.
• W3048652824 cites W2756268115 @default.
• W3048652824 cites W2884217374 @default.
• W3048652824 cites W2945408250 @default.
• W3048652824 cites W2956531686 @default.
• W3048652824 cites W2962801519 @default.
• W3048652824 cites W2962829928 @default.
• W3048652824 cites W2962861579 @default.
• W3048652824 cites W2963320695 @default.
• W3048652824 cites W2963605893 @default.
• W3048652824 cites W2963729625 @default.
• W3048652824 cites W4235609472 @default.
• W3048652824 doi "https://doi.org/10.1016/j.jfa.2020.108732" @default.
• W3048652824 hasPublicationYear "2020" @default.
• W3048652824 type Work @default.
• W3048652824 sameAs 3048652824 @default.
• W3048652824 citedByCount "19" @default.
• W3048652824 countsByYear W30486528242020 @default.
• W3048652824 countsByYear W30486528242021 @default.
• W3048652824 countsByYear W30486528242022 @default.
• W3048652824 countsByYear W30486528242023 @default.
• W3048652824 crossrefType "journal-article" @default.
• W3048652824 hasAuthorship W3048652824A5045719093 @default.
• W3048652824 hasAuthorship W3048652824A5062208839 @default.
• W3048652824 hasAuthorship W3048652824A5085774303 @default.
• W3048652824 hasBestOaLocation W30486528242 @default.
• W3048652824 hasConcept C104317684 @default.
• W3048652824 hasConcept C114614502 @default.
• W3048652824 hasConcept C134306372 @default.
• W3048652824 hasConcept C154945302 @default.
• W3048652824 hasConcept C158448853 @default.
• W3048652824 hasConcept C164660894 @default.
• W3048652824 hasConcept C165700671 @default.
• W3048652824 hasConcept C17020691 @default.
• W3048652824 hasConcept C185592680 @default.
• W3048652824 hasConcept C202444582 @default.
• W3048652824 hasConcept C2777212361 @default.
• W3048652824 hasConcept C2777984123 @default.
• W3048652824 hasConcept C2780012671 @default.
• W3048652824 hasConcept C33923547 @default.
• W3048652824 hasConcept C34388435 @default.
• W3048652824 hasConcept C39927690 @default.
• W3048652824 hasConcept C41008148 @default.
• W3048652824 hasConcept C42357961 @default.
• W3048652824 hasConcept C55493867 @default.
• W3048652824 hasConcept C72169020 @default.
• W3048652824 hasConcept C86339819 @default.
• W3048652824 hasConceptScore W3048652824C104317684 @default.
• W3048652824 hasConceptScore W3048652824C114614502 @default.
• W3048652824 hasConceptScore W3048652824C134306372 @default.
• W3048652824 hasConceptScore W3048652824C154945302 @default.
• W3048652824 hasConceptScore W3048652824C158448853 @default.
• W3048652824 hasConceptScore W3048652824C164660894 @default.
• W3048652824 hasConceptScore W3048652824C165700671 @default.
• W3048652824 hasConceptScore W3048652824C17020691 @default.
• W3048652824 hasConceptScore W3048652824C185592680 @default.
• W3048652824 hasConceptScore W3048652824C202444582 @default.
• W3048652824 hasConceptScore W3048652824C2777212361 @default.
• W3048652824 hasConceptScore W3048652824C2777984123 @default.
• W3048652824 hasConceptScore W3048652824C2780012671 @default.
• W3048652824 hasConceptScore W3048652824C33923547 @default.
• W3048652824 hasConceptScore W3048652824C34388435 @default.
• W3048652824 hasConceptScore W3048652824C39927690 @default.
• W3048652824 hasConceptScore W3048652824C41008148 @default.
• W3048652824 hasConceptScore W3048652824C42357961 @default.
• W3048652824 hasConceptScore W3048652824C55493867 @default.
• W3048652824 hasConceptScore W3048652824C72169020 @default.
• W3048652824 hasConceptScore W3048652824C86339819 @default.
• W3048652824 hasIssue "11" @default.
• W3048652824 hasLocation W30486528241 @default.
• W3048652824 hasLocation W30486528242 @default.
• W3048652824 hasOpenAccess W3048652824 @default.
• W3048652824 hasPrimaryLocation W30486528241 @default.
• W3048652824 hasRelatedWork W1503051695 @default.
• W3048652824 hasRelatedWork W1969665421 @default.
• W3048652824 hasRelatedWork W1984201912 @default.
• W3048652824 hasRelatedWork W2017331178 @default.
• W3048652824 hasRelatedWork W2031905141 @default.

• next