Matches in SemOpenAlex for { <https://semopenalex.org/work/W4320536660> ?p ?o ?g. }
Showing items 1 to 63 of
63
with 100 items per page.
- W4320536660 abstract "We consider the focusing $5$d Hartree equation, which is $L^2$-supercritical, with finite energy initial data, and investigate the solutions at the mass-energy threshold. We establish the existence of special solutions following the work of Duyckaerts-Roudenko [11] for the $3$d focusing cubic nonlinear Schrodinger equation (NLS). In particular, apart from the ground state solution $Q$, which is global but non-scattering, there exist special solutions $Q^+$ and $Q^-$, which in one time direction approach $Q$ exponentially, and in the other time direction $Q^+$ blows up in finite time and $Q^-$ exists for all time, exhibiting scattering behavior. We then characterize all radial threshold solutions either as scattering and blow up solutions in both time directions (similar to the solutions under the mass-energy threshold, see Arora-Roudenko [3]), or as the special solutions described above. To obtain the existence and classification result, in this paper we perform a thorough and meticulous investigation of the spectral properties of the linearized operator associated to the Hartree equation." @default.
- W4320536660 created "2023-02-14" @default.
- W4320536660 creator A5026912162 @default.
- W4320536660 creator A5089919037 @default.
- W4320536660 date "2022-10-13" @default.
- W4320536660 modified "2023-09-29" @default.
- W4320536660 title "Threshold solutions for the Hartree equation" @default.
- W4320536660 doi "https://doi.org/10.48550/arxiv.2210.07344" @default.
- W4320536660 hasPublicationYear "2022" @default.
- W4320536660 type Work @default.
- W4320536660 citedByCount "0" @default.
- W4320536660 crossrefType "posted-content" @default.
- W4320536660 hasAuthorship W4320536660A5026912162 @default.
- W4320536660 hasAuthorship W4320536660A5089919037 @default.
- W4320536660 hasBestOaLocation W43205366601 @default.
- W4320536660 hasConcept C104317684 @default.
- W4320536660 hasConcept C121332964 @default.
- W4320536660 hasConcept C134306372 @default.
- W4320536660 hasConcept C145196801 @default.
- W4320536660 hasConcept C158448853 @default.
- W4320536660 hasConcept C158622935 @default.
- W4320536660 hasConcept C17020691 @default.
- W4320536660 hasConcept C185592680 @default.
- W4320536660 hasConcept C186370098 @default.
- W4320536660 hasConcept C18762648 @default.
- W4320536660 hasConcept C191486275 @default.
- W4320536660 hasConcept C33923547 @default.
- W4320536660 hasConcept C37914503 @default.
- W4320536660 hasConcept C55493867 @default.
- W4320536660 hasConcept C62520636 @default.
- W4320536660 hasConcept C86339819 @default.
- W4320536660 hasConceptScore W4320536660C104317684 @default.
- W4320536660 hasConceptScore W4320536660C121332964 @default.
- W4320536660 hasConceptScore W4320536660C134306372 @default.
- W4320536660 hasConceptScore W4320536660C145196801 @default.
- W4320536660 hasConceptScore W4320536660C158448853 @default.
- W4320536660 hasConceptScore W4320536660C158622935 @default.
- W4320536660 hasConceptScore W4320536660C17020691 @default.
- W4320536660 hasConceptScore W4320536660C185592680 @default.
- W4320536660 hasConceptScore W4320536660C186370098 @default.
- W4320536660 hasConceptScore W4320536660C18762648 @default.
- W4320536660 hasConceptScore W4320536660C191486275 @default.
- W4320536660 hasConceptScore W4320536660C33923547 @default.
- W4320536660 hasConceptScore W4320536660C37914503 @default.
- W4320536660 hasConceptScore W4320536660C55493867 @default.
- W4320536660 hasConceptScore W4320536660C62520636 @default.
- W4320536660 hasConceptScore W4320536660C86339819 @default.
- W4320536660 hasLocation W43205366601 @default.
- W4320536660 hasOpenAccess W4320536660 @default.
- W4320536660 hasPrimaryLocation W43205366601 @default.
- W4320536660 hasRelatedWork W1846976061 @default.
- W4320536660 hasRelatedWork W2039965938 @default.
- W4320536660 hasRelatedWork W2594707824 @default.
- W4320536660 hasRelatedWork W2924196703 @default.
- W4320536660 hasRelatedWork W2963205729 @default.
- W4320536660 hasRelatedWork W3033558109 @default.
- W4320536660 hasRelatedWork W3100498169 @default.
- W4320536660 hasRelatedWork W3151518277 @default.
- W4320536660 hasRelatedWork W4220784453 @default.
- W4320536660 hasRelatedWork W2944697066 @default.
- W4320536660 isParatext "false" @default.
- W4320536660 isRetracted "false" @default.
- W4320536660 workType "article" @default.