FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2736297029> ?p ?o ?g. }

• W2736297029 abstract "We discuss representation of certain functions of the Laplace operator $Delta$ as Dirichlet-to-Neumann maps for appropriate elliptic operators in half-space. A classical result identifies $(-Delta)^{1/2}$, the square root of the $d$-dimensional Laplace operator, with the Dirichlet-to-Neumann map for the $(d + 1)$-dimensional Laplace operator $Delta_{t,x}$ in $(0, infty) times mathbf{R}^d$. Caffarelli and Silvestre extended this to fractional powers $(-Delta)^{alpha/2}$, which correspond to operators $nabla_{t,x} (t^{1 - alpha} nabla_{t,x})$. We provide an analogous result for all complete Bernstein functions of $-Delta$ using Krein's spectral theory of strings. Two sample applications are provided: a Courant--Hilbert nodal line theorem for harmonic extensions of the eigenfunctions of non-local Schrodinger operators $psi(-Delta) + V(x)$, as well as an upper bound for the eigenvalues of these operators. Here $psi$ is a complete Bernstein function and $V$ is a confining potential." @default.
• W2736297029 created "2017-07-21" @default.
• W2736297029 creator A5005079203 @default.
• W2736297029 creator A5038143737 @default.
• W2736297029 date "2017-07-08" @default.
• W2736297029 modified "2023-09-26" @default.
• W2736297029 title "Extension technique for complete Bernstein functions of the Laplace operator" @default.
• W2736297029 cites W1532154335 @default.
• W2736297029 cites W1599379875 @default.
• W2736297029 cites W1695100291 @default.
• W2736297029 cites W1744306136 @default.
• W2736297029 cites W1968389021 @default.
• W2736297029 cites W1973079440 @default.
• W2736297029 cites W1982208509 @default.
• W2736297029 cites W2015401700 @default.
• W2736297029 cites W2024039215 @default.
• W2736297029 cites W2041386511 @default.
• W2736297029 cites W2060772540 @default.
• W2736297029 cites W2070020532 @default.
• W2736297029 cites W2088469572 @default.
• W2736297029 cites W2101884780 @default.
• W2736297029 cites W2102109230 @default.
• W2736297029 cites W2136052812 @default.
• W2736297029 cites W2143139627 @default.
• W2736297029 cites W2157005274 @default.
• W2736297029 cites W2157108224 @default.
• W2736297029 cites W2316913744 @default.
• W2736297029 cites W2518463501 @default.
• W2736297029 cites W2906328270 @default.
• W2736297029 cites W2949173626 @default.
• W2736297029 cites W2963937629 @default.
• W2736297029 cites W2963946139 @default.
• W2736297029 cites W2964156117 @default.
• W2736297029 cites W3122571973 @default.
• W2736297029 cites W2102878956 @default.
• W2736297029 hasPublicationYear "2017" @default.
• W2736297029 type Work @default.
• W2736297029 sameAs 2736297029 @default.
• W2736297029 citedByCount "0" @default.
• W2736297029 crossrefType "posted-content" @default.
• W2736297029 hasAuthorship W2736297029A5005079203 @default.
• W2736297029 hasAuthorship W2736297029A5038143737 @default.
• W2736297029 hasConcept C104317684 @default.
• W2736297029 hasConcept C121332964 @default.
• W2736297029 hasConcept C128803854 @default.
• W2736297029 hasConcept C134306372 @default.
• W2736297029 hasConcept C158448853 @default.
• W2736297029 hasConcept C158693339 @default.
• W2736297029 hasConcept C165700671 @default.
• W2736297029 hasConcept C169214877 @default.
• W2736297029 hasConcept C17020691 @default.
• W2736297029 hasConcept C182310444 @default.
• W2736297029 hasConcept C185592680 @default.
• W2736297029 hasConcept C202444582 @default.
• W2736297029 hasConcept C2779557605 @default.
• W2736297029 hasConcept C33923547 @default.
• W2736297029 hasConcept C37914503 @default.
• W2736297029 hasConcept C54207081 @default.
• W2736297029 hasConcept C54486999 @default.
• W2736297029 hasConcept C55493867 @default.
• W2736297029 hasConcept C62520636 @default.
• W2736297029 hasConcept C627467 @default.
• W2736297029 hasConcept C70610323 @default.
• W2736297029 hasConcept C86339819 @default.
• W2736297029 hasConceptScore W2736297029C104317684 @default.
• W2736297029 hasConceptScore W2736297029C121332964 @default.
• W2736297029 hasConceptScore W2736297029C128803854 @default.
• W2736297029 hasConceptScore W2736297029C134306372 @default.
• W2736297029 hasConceptScore W2736297029C158448853 @default.
• W2736297029 hasConceptScore W2736297029C158693339 @default.
• W2736297029 hasConceptScore W2736297029C165700671 @default.
• W2736297029 hasConceptScore W2736297029C169214877 @default.
• W2736297029 hasConceptScore W2736297029C17020691 @default.
• W2736297029 hasConceptScore W2736297029C182310444 @default.
• W2736297029 hasConceptScore W2736297029C185592680 @default.
• W2736297029 hasConceptScore W2736297029C202444582 @default.
• W2736297029 hasConceptScore W2736297029C2779557605 @default.
• W2736297029 hasConceptScore W2736297029C33923547 @default.
• W2736297029 hasConceptScore W2736297029C37914503 @default.
• W2736297029 hasConceptScore W2736297029C54207081 @default.
• W2736297029 hasConceptScore W2736297029C54486999 @default.
• W2736297029 hasConceptScore W2736297029C55493867 @default.
• W2736297029 hasConceptScore W2736297029C62520636 @default.
• W2736297029 hasConceptScore W2736297029C627467 @default.
• W2736297029 hasConceptScore W2736297029C70610323 @default.
• W2736297029 hasConceptScore W2736297029C86339819 @default.
• W2736297029 hasLocation W27362970291 @default.
• W2736297029 hasOpenAccess W2736297029 @default.
• W2736297029 hasPrimaryLocation W27362970291 @default.
• W2736297029 hasRelatedWork W1614100192 @default.
• W2736297029 hasRelatedWork W180660221 @default.
• W2736297029 hasRelatedWork W1994217179 @default.
• W2736297029 hasRelatedWork W1998118994 @default.
• W2736297029 hasRelatedWork W1999382308 @default.
• W2736297029 hasRelatedWork W2018033532 @default.
• W2736297029 hasRelatedWork W204891742 @default.
• W2736297029 hasRelatedWork W2069070159 @default.
• W2736297029 hasRelatedWork W2522047664 @default.
• W2736297029 hasRelatedWork W2797880100 @default.
• W2736297029 hasRelatedWork W2887257705 @default.

• next