Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313208577> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W4313208577 endingPage "894" @default.
- W4313208577 startingPage "860" @default.
- W4313208577 abstract "We consider the Cauchy problem for the integrable nonlocal nonlinear Schrödinger (NNLS) equation $ mathrm{i}partial_t q(x, t)+partial_{x}^2q(x, t)+2sigma q^{2}(x, t)overline{q(-x, t)} = 0 $ with initial data $ q(x, 0)in H^{1, 1}(mathbb{R}) $. It is known that the NNLS equation is integrable and it has soliton solutions, which can have isolated finite time blow-up points. The main aim of this work is to propose a suitable concept for continuation of weak $ H^{1, 1} $ local solutions of the general Cauchy problem (particularly, those admitting long-time soliton resolution) beyond possible singularities. Our main tool is the inverse scattering transform method in the form of the Riemann-Hilbert problem combined with the PDE existence theory for nonlinear dispersive equations." @default.
- W4313208577 created "2023-01-06" @default.
- W4313208577 creator A5004114262 @default.
- W4313208577 creator A5039221552 @default.
- W4313208577 date "2023-01-01" @default.
- W4313208577 modified "2023-09-30" @default.
- W4313208577 title "Global conservative solutions of the nonlocal NLS equation beyond blow-up" @default.
- W4313208577 doi "https://doi.org/10.3934/dcds.2022173" @default.
- W4313208577 hasPublicationYear "2023" @default.
- W4313208577 type Work @default.
- W4313208577 citedByCount "0" @default.
- W4313208577 crossrefType "journal-article" @default.
- W4313208577 hasAuthorship W4313208577A5004114262 @default.
- W4313208577 hasAuthorship W4313208577A5039221552 @default.
- W4313208577 hasBestOaLocation W43132085771 @default.
- W4313208577 hasConcept C121332964 @default.
- W4313208577 hasConcept C12843 @default.
- W4313208577 hasConcept C134306372 @default.
- W4313208577 hasConcept C135252773 @default.
- W4313208577 hasConcept C136628613 @default.
- W4313208577 hasConcept C153635880 @default.
- W4313208577 hasConcept C158622935 @default.
- W4313208577 hasConcept C174558057 @default.
- W4313208577 hasConcept C199360897 @default.
- W4313208577 hasConcept C200741047 @default.
- W4313208577 hasConcept C202444582 @default.
- W4313208577 hasConcept C26955809 @default.
- W4313208577 hasConcept C2778049214 @default.
- W4313208577 hasConcept C33923547 @default.
- W4313208577 hasConcept C37914503 @default.
- W4313208577 hasConcept C41008148 @default.
- W4313208577 hasConcept C49344536 @default.
- W4313208577 hasConcept C62520636 @default.
- W4313208577 hasConcept C63036615 @default.
- W4313208577 hasConcept C83774755 @default.
- W4313208577 hasConcept C87651913 @default.
- W4313208577 hasConcept C88626702 @default.
- W4313208577 hasConceptScore W4313208577C121332964 @default.
- W4313208577 hasConceptScore W4313208577C12843 @default.
- W4313208577 hasConceptScore W4313208577C134306372 @default.
- W4313208577 hasConceptScore W4313208577C135252773 @default.
- W4313208577 hasConceptScore W4313208577C136628613 @default.
- W4313208577 hasConceptScore W4313208577C153635880 @default.
- W4313208577 hasConceptScore W4313208577C158622935 @default.
- W4313208577 hasConceptScore W4313208577C174558057 @default.
- W4313208577 hasConceptScore W4313208577C199360897 @default.
- W4313208577 hasConceptScore W4313208577C200741047 @default.
- W4313208577 hasConceptScore W4313208577C202444582 @default.
- W4313208577 hasConceptScore W4313208577C26955809 @default.
- W4313208577 hasConceptScore W4313208577C2778049214 @default.
- W4313208577 hasConceptScore W4313208577C33923547 @default.
- W4313208577 hasConceptScore W4313208577C37914503 @default.
- W4313208577 hasConceptScore W4313208577C41008148 @default.
- W4313208577 hasConceptScore W4313208577C49344536 @default.
- W4313208577 hasConceptScore W4313208577C62520636 @default.
- W4313208577 hasConceptScore W4313208577C63036615 @default.
- W4313208577 hasConceptScore W4313208577C83774755 @default.
- W4313208577 hasConceptScore W4313208577C87651913 @default.
- W4313208577 hasConceptScore W4313208577C88626702 @default.
- W4313208577 hasIssue "2" @default.
- W4313208577 hasLocation W43132085771 @default.
- W4313208577 hasLocation W43132085772 @default.
- W4313208577 hasOpenAccess W4313208577 @default.
- W4313208577 hasPrimaryLocation W43132085771 @default.
- W4313208577 hasRelatedWork W2018924978 @default.
- W4313208577 hasRelatedWork W2116024496 @default.
- W4313208577 hasRelatedWork W2498505511 @default.
- W4313208577 hasRelatedWork W2894181902 @default.
- W4313208577 hasRelatedWork W2953033109 @default.
- W4313208577 hasRelatedWork W2963830950 @default.
- W4313208577 hasRelatedWork W3035918901 @default.
- W4313208577 hasRelatedWork W3118776131 @default.
- W4313208577 hasRelatedWork W3208062390 @default.
- W4313208577 hasRelatedWork W4287753247 @default.
- W4313208577 hasVolume "43" @default.
- W4313208577 isParatext "false" @default.
- W4313208577 isRetracted "false" @default.
- W4313208577 workType "article" @default.