Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963220268> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W2963220268 endingPage "551" @default.
- W2963220268 startingPage "515" @default.
- W2963220268 abstract "Let (x in mathbb {R}^{d}), d ≥ 3, and (f: mathbb {R}^{d} rightarrow mathbb {R}) be a twice differentiable function with all second partial derivatives being continuous. For 1 ≤ i, j ≤ d, let (a_{ij} : mathbb {R}^{d} rightarrow mathbb {R}) be a differentiable function with all partial derivatives being continuous and bounded. We shall consider the Schrodinger operator associated to $$mathcal{L}f(x) = frac12 sumlimits_{i=1}^{d} sumlimits_{j=1}^{d} frac{partial}{partial x_{i}} left( a_{ij}(cdot) frac{partial f}{partial x_{j}}right)(x) + {int}_{mathbb{R}^{d}setminus{{0}}} [f(y) - f(x) ]J(x,y)dy $$where (J: mathbb {R}^{d} times mathbb {R}^{d} rightarrow mathbb {R}) is a symmetric measurable function. Let (q: mathbb {R}^{d} rightarrow mathbb {R}.) We specify assumptions on a, q, and J so that non-negative bounded solutions to $$mathcal{L}f + qf = 0 $$satisfy a Harnack inequality. As tools we also prove a Carleson estimate, a uniform Boundary Harnack Principle and a 3G inequality for solutions to (mathcal {L}f = 0.)" @default.
- W2963220268 created "2019-07-30" @default.
- W2963220268 creator A5051334590 @default.
- W2963220268 creator A5061523923 @default.
- W2963220268 date "2017-08-18" @default.
- W2963220268 modified "2023-10-16" @default.
- W2963220268 title "Harnack Inequality for Non-Local Schrödinger Operators" @default.
- W2963220268 cites W1486075816 @default.
- W2963220268 cites W1503570116 @default.
- W2963220268 cites W1549206114 @default.
- W2963220268 cites W1604632478 @default.
- W2963220268 cites W1974531986 @default.
- W2963220268 cites W1992561653 @default.
- W2963220268 cites W2010724415 @default.
- W2963220268 cites W2021278879 @default.
- W2963220268 cites W2022490627 @default.
- W2963220268 cites W2051376357 @default.
- W2963220268 cites W2054294012 @default.
- W2963220268 cites W2099627699 @default.
- W2963220268 cites W2135278952 @default.
- W2963220268 cites W2138808782 @default.
- W2963220268 cites W2145838560 @default.
- W2963220268 cites W2316155668 @default.
- W2963220268 cites W2962888985 @default.
- W2963220268 cites W2963232316 @default.
- W2963220268 cites W4242056920 @default.
- W2963220268 cites W649203522 @default.
- W2963220268 doi "https://doi.org/10.1007/s11118-017-9646-6" @default.
- W2963220268 hasPublicationYear "2017" @default.
- W2963220268 type Work @default.
- W2963220268 sameAs 2963220268 @default.
- W2963220268 citedByCount "5" @default.
- W2963220268 countsByYear W29632202682019 @default.
- W2963220268 countsByYear W29632202682022 @default.
- W2963220268 countsByYear W29632202682023 @default.
- W2963220268 crossrefType "journal-article" @default.
- W2963220268 hasAuthorship W2963220268A5051334590 @default.
- W2963220268 hasAuthorship W2963220268A5061523923 @default.
- W2963220268 hasBestOaLocation W29632202682 @default.
- W2963220268 hasConcept C104317684 @default.
- W2963220268 hasConcept C134306372 @default.
- W2963220268 hasConcept C163072092 @default.
- W2963220268 hasConcept C185592680 @default.
- W2963220268 hasConcept C194800363 @default.
- W2963220268 hasConcept C202444582 @default.
- W2963220268 hasConcept C24743483 @default.
- W2963220268 hasConcept C28826006 @default.
- W2963220268 hasConcept C33923547 @default.
- W2963220268 hasConcept C43929395 @default.
- W2963220268 hasConcept C45555294 @default.
- W2963220268 hasConcept C55112680 @default.
- W2963220268 hasConcept C55493867 @default.
- W2963220268 hasConcept C8464174 @default.
- W2963220268 hasConceptScore W2963220268C104317684 @default.
- W2963220268 hasConceptScore W2963220268C134306372 @default.
- W2963220268 hasConceptScore W2963220268C163072092 @default.
- W2963220268 hasConceptScore W2963220268C185592680 @default.
- W2963220268 hasConceptScore W2963220268C194800363 @default.
- W2963220268 hasConceptScore W2963220268C202444582 @default.
- W2963220268 hasConceptScore W2963220268C24743483 @default.
- W2963220268 hasConceptScore W2963220268C28826006 @default.
- W2963220268 hasConceptScore W2963220268C33923547 @default.
- W2963220268 hasConceptScore W2963220268C43929395 @default.
- W2963220268 hasConceptScore W2963220268C45555294 @default.
- W2963220268 hasConceptScore W2963220268C55112680 @default.
- W2963220268 hasConceptScore W2963220268C55493867 @default.
- W2963220268 hasConceptScore W2963220268C8464174 @default.
- W2963220268 hasIssue "4" @default.
- W2963220268 hasLocation W29632202681 @default.
- W2963220268 hasLocation W29632202682 @default.
- W2963220268 hasOpenAccess W2963220268 @default.
- W2963220268 hasPrimaryLocation W29632202681 @default.
- W2963220268 hasRelatedWork W1973103931 @default.
- W2963220268 hasRelatedWork W1977410499 @default.
- W2963220268 hasRelatedWork W2028077151 @default.
- W2963220268 hasRelatedWork W2046098168 @default.
- W2963220268 hasRelatedWork W2160801186 @default.
- W2963220268 hasRelatedWork W2536255283 @default.
- W2963220268 hasRelatedWork W2963220268 @default.
- W2963220268 hasRelatedWork W3094081966 @default.
- W2963220268 hasRelatedWork W4247653541 @default.
- W2963220268 hasRelatedWork W1949245569 @default.
- W2963220268 hasVolume "48" @default.
- W2963220268 isParatext "false" @default.
- W2963220268 isRetracted "false" @default.
- W2963220268 magId "2963220268" @default.
- W2963220268 workType "article" @default.