FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2951172696> ?p ?o ?g. }

• W2951172696 endingPage "547" @default.
• W2951172696 startingPage "433" @default.
• W2951172696 abstract "We derive the 3D energy critical quintic NLS from quantum many-body dynamics with 3-body interaction in the $$mathbb {T}^{3}$$ (periodic) setting. Due to the known complexity of the energy critical setting, previous progress was limited in comparison to the 2-body interaction case yielding energy subcritical cubic NLS. Previously, the only result for the 3D energy critical case was Hong et al. (J Funct Anal 270(1):34–67, 2016), which proved the uniqueness part of the argument in the case of small solutions. In the main part of this paper, we develop methods to prove the convergence of the BBGKY hierarchy to the infinite Gross–Pitaevskii (GP) hierarchy, and separately, the uniqueness of large GP solutions. Since the trace estimate used in the previous proofs of convergence is the false endpoint trace estimate in our setting, we instead introduce a new frequency interaction analysis and apply the finite dimensional quantum de Finetti theorem. For the large solution uniqueness argument, we discover the new hierarchical uniform frequency localization (HUFL) property for the GP hierarchy and use it to prove a new type of uniqueness theorem. The HUFL property reduces to a new statement even for NLS. With the help of Colliander et al. (Ann Math (2) 167(3):767–865, 2008) and Ionescu and Pausader (Duke Math J 161:1581–1612, 2012) which proved the global well-posedness for the quintic NLS, this new uniqueness theorem establishes global uniqueness." @default.
• W2951172696 created "2019-06-27" @default.
• W2951172696 creator A5067874807 @default.
• W2951172696 creator A5087180481 @default.
• W2951172696 date "2019-04-16" @default.
• W2951172696 modified "2023-10-01" @default.
• W2951172696 title "The derivation of the $$mathbb {T}^{3}$$ T 3 energy-critical NLS from quantum many-body dynamics" @default.
• W2951172696 cites W1514033091 @default.
• W2951172696 cites W1544636356 @default.
• W2951172696 cites W1555751728 @default.
• W2951172696 cites W1922367214 @default.
• W2951172696 cites W1981428389 @default.
• W2951172696 cites W1991602497 @default.
• W2951172696 cites W2000138951 @default.
• W2951172696 cites W2006533869 @default.
• W2951172696 cites W2006574240 @default.
• W2951172696 cites W2007638502 @default.
• W2951172696 cites W2010640399 @default.
• W2951172696 cites W2010891745 @default.
• W2951172696 cites W2023195358 @default.
• W2951172696 cites W2025185856 @default.
• W2951172696 cites W2042248542 @default.
• W2951172696 cites W2044949772 @default.
• W2951172696 cites W2045636099 @default.
• W2951172696 cites W2052350718 @default.
• W2951172696 cites W2054889887 @default.
• W2951172696 cites W2064354429 @default.
• W2951172696 cites W2070693661 @default.
• W2951172696 cites W2071230112 @default.
• W2951172696 cites W2075168679 @default.
• W2951172696 cites W2080023729 @default.
• W2951172696 cites W2098561316 @default.
• W2951172696 cites W2111393370 @default.
• W2951172696 cites W2116270614 @default.
• W2951172696 cites W2122653810 @default.
• W2951172696 cites W2132639490 @default.
• W2951172696 cites W2138377210 @default.
• W2951172696 cites W2143190954 @default.
• W2951172696 cites W2153956259 @default.
• W2951172696 cites W2155512512 @default.
• W2951172696 cites W2170030682 @default.
• W2951172696 cites W2886733290 @default.
• W2951172696 cites W2951275812 @default.
• W2951172696 cites W2962689859 @default.
• W2951172696 cites W2962905338 @default.
• W2951172696 cites W2963184103 @default.
• W2951172696 cites W2963259257 @default.
• W2951172696 cites W2963629266 @default.
• W2951172696 cites W2963673026 @default.
• W2951172696 cites W2964013734 @default.
• W2951172696 cites W3046711919 @default.
• W2951172696 cites W3099554273 @default.
• W2951172696 cites W3099647427 @default.
• W2951172696 cites W3099919079 @default.
• W2951172696 cites W3100655150 @default.
• W2951172696 cites W3101240735 @default.
• W2951172696 cites W3101833153 @default.
• W2951172696 cites W3103637998 @default.
• W2951172696 cites W3104016997 @default.
• W2951172696 cites W3104424253 @default.
• W2951172696 cites W3105688810 @default.
• W2951172696 cites W3105765174 @default.
• W2951172696 cites W3106412559 @default.
• W2951172696 cites W3125129411 @default.
• W2951172696 cites W3125850819 @default.
• W2951172696 cites W4213332027 @default.
• W2951172696 doi "https://doi.org/10.1007/s00222-019-00868-3" @default.
• W2951172696 hasPublicationYear "2019" @default.
• W2951172696 type Work @default.
• W2951172696 sameAs 2951172696 @default.
• W2951172696 citedByCount "17" @default.
• W2951172696 countsByYear W29511726962021 @default.
• W2951172696 countsByYear W29511726962022 @default.
• W2951172696 countsByYear W29511726962023 @default.
• W2951172696 crossrefType "journal-article" @default.
• W2951172696 hasAuthorship W2951172696A5067874807 @default.
• W2951172696 hasAuthorship W2951172696A5087180481 @default.
• W2951172696 hasBestOaLocation W29511726962 @default.
• W2951172696 hasConcept C105795698 @default.
• W2951172696 hasConcept C108710211 @default.
• W2951172696 hasConcept C121332964 @default.
• W2951172696 hasConcept C124966035 @default.
• W2951172696 hasConcept C134306372 @default.
• W2951172696 hasConcept C138885662 @default.
• W2951172696 hasConcept C155940 @default.
• W2951172696 hasConcept C158622935 @default.
• W2951172696 hasConcept C162324750 @default.
• W2951172696 hasConcept C167312068 @default.
• W2951172696 hasConcept C186370098 @default.
• W2951172696 hasConcept C186603090 @default.
• W2951172696 hasConcept C202444582 @default.
• W2951172696 hasConcept C2524010 @default.
• W2951172696 hasConcept C2777021972 @default.
• W2951172696 hasConcept C2777303404 @default.
• W2951172696 hasConcept C31170391 @default.
• W2951172696 hasConcept C33923547 @default.
• W2951172696 hasConcept C34447519 @default.
• W2951172696 hasConcept C41895202 @default.

• next