Matches in SemOpenAlex for { <https://semopenalex.org/work/W2910131389> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W2910131389 endingPage "1451" @default.
- W2910131389 startingPage "1435" @default.
- W2910131389 abstract "Abstract We consider a class of Schrödinger operators on ${open R}^N$ with radial potentials. Viewing them as self-adjoint operators on the space of radially symmetric functions in $L^2({open R}^N)$ , we show that the following properties are generic with respect to the potential: (P1) the eigenvalues below the essential spectrum are nonresonant (i.e., rationally independent) and so are the square roots of the moduli of these eigenvalues; (P2) the eigenfunctions corresponding to the eigenvalues below the essential spectrum are algebraically independent on any nonempty open set. The genericity means that in suitable topologies the potentials having the above properties form a residual set. As we explain, (P1), (P2) are prerequisites for some applications of KAM-type results to nonlinear elliptic equations. Similar properties also play a role in optimal control and other problems in linear and nonlinear partial differential equations." @default.
- W2910131389 created "2019-01-25" @default.
- W2910131389 creator A5009669591 @default.
- W2910131389 creator A5044928606 @default.
- W2910131389 date "2019-01-15" @default.
- W2910131389 modified "2023-10-01" @default.
- W2910131389 title "Some generic properties of Schrödinger operators with radial potentials" @default.
- W2910131389 cites W138734637 @default.
- W2910131389 cites W1602215523 @default.
- W2910131389 cites W171105080 @default.
- W2910131389 cites W1848958705 @default.
- W2910131389 cites W1973966668 @default.
- W2910131389 cites W1977275520 @default.
- W2910131389 cites W1989352862 @default.
- W2910131389 cites W1996164347 @default.
- W2910131389 cites W2008103464 @default.
- W2910131389 cites W2021432942 @default.
- W2910131389 cites W2034493562 @default.
- W2910131389 cites W2061754555 @default.
- W2910131389 cites W2071132730 @default.
- W2910131389 cites W2088950052 @default.
- W2910131389 cites W2091119439 @default.
- W2910131389 cites W2097021094 @default.
- W2910131389 cites W2149180385 @default.
- W2910131389 cites W2158876405 @default.
- W2910131389 cites W2316593905 @default.
- W2910131389 cites W2592147729 @default.
- W2910131389 cites W4233660666 @default.
- W2910131389 cites W4239845241 @default.
- W2910131389 doi "https://doi.org/10.1017/prm.2018.129" @default.
- W2910131389 hasPublicationYear "2019" @default.
- W2910131389 type Work @default.
- W2910131389 sameAs 2910131389 @default.
- W2910131389 citedByCount "1" @default.
- W2910131389 countsByYear W29101313892022 @default.
- W2910131389 crossrefType "journal-article" @default.
- W2910131389 hasAuthorship W2910131389A5009669591 @default.
- W2910131389 hasAuthorship W2910131389A5044928606 @default.
- W2910131389 hasConcept C121089165 @default.
- W2910131389 hasConcept C121332964 @default.
- W2910131389 hasConcept C128803854 @default.
- W2910131389 hasConcept C134306372 @default.
- W2910131389 hasConcept C135692309 @default.
- W2910131389 hasConcept C156778621 @default.
- W2910131389 hasConcept C158622935 @default.
- W2910131389 hasConcept C158693339 @default.
- W2910131389 hasConcept C202444582 @default.
- W2910131389 hasConcept C2524010 @default.
- W2910131389 hasConcept C2780297109 @default.
- W2910131389 hasConcept C33923547 @default.
- W2910131389 hasConcept C42357961 @default.
- W2910131389 hasConcept C62520636 @default.
- W2910131389 hasConcept C73373263 @default.
- W2910131389 hasConceptScore W2910131389C121089165 @default.
- W2910131389 hasConceptScore W2910131389C121332964 @default.
- W2910131389 hasConceptScore W2910131389C128803854 @default.
- W2910131389 hasConceptScore W2910131389C134306372 @default.
- W2910131389 hasConceptScore W2910131389C135692309 @default.
- W2910131389 hasConceptScore W2910131389C156778621 @default.
- W2910131389 hasConceptScore W2910131389C158622935 @default.
- W2910131389 hasConceptScore W2910131389C158693339 @default.
- W2910131389 hasConceptScore W2910131389C202444582 @default.
- W2910131389 hasConceptScore W2910131389C2524010 @default.
- W2910131389 hasConceptScore W2910131389C2780297109 @default.
- W2910131389 hasConceptScore W2910131389C33923547 @default.
- W2910131389 hasConceptScore W2910131389C42357961 @default.
- W2910131389 hasConceptScore W2910131389C62520636 @default.
- W2910131389 hasConceptScore W2910131389C73373263 @default.
- W2910131389 hasIssue "6" @default.
- W2910131389 hasLocation W29101313891 @default.
- W2910131389 hasOpenAccess W2910131389 @default.
- W2910131389 hasPrimaryLocation W29101313891 @default.
- W2910131389 hasRelatedWork W2024999610 @default.
- W2910131389 hasRelatedWork W2081457414 @default.
- W2910131389 hasRelatedWork W2117918982 @default.
- W2910131389 hasRelatedWork W2900918889 @default.
- W2910131389 hasRelatedWork W2910131389 @default.
- W2910131389 hasRelatedWork W2951422229 @default.
- W2910131389 hasRelatedWork W2952745759 @default.
- W2910131389 hasRelatedWork W2963341196 @default.
- W2910131389 hasRelatedWork W2985548753 @default.
- W2910131389 hasRelatedWork W3085325486 @default.
- W2910131389 hasVolume "149" @default.
- W2910131389 isParatext "false" @default.
- W2910131389 isRetracted "false" @default.
- W2910131389 magId "2910131389" @default.
- W2910131389 workType "article" @default.