FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1975695418> ?p ?o ?g. }

• W1975695418 abstract "We investigate the asymptotic time behavior of the solutions of a large class of linear differential equations that generalize the free-particle Schrodinger and diffusion equations, containing the standard ones as particular cases. We find general scalings that depend only on characteristic features of both the arbitrary initial condition and the Green function associated with the evolution equation. Basically, the amplitude of a long-time solution can be expressed in terms of low order moments of the initial condition (if finite) and low order spatial derivatives of the Green function. These derivatives can also be of the fractional type, which naturally arise when moments are divergent. We apply our results to a large class of differential equations that includes the fractional Schrodinger and L'evy diffusion equations. In particular, we show that, except for threshold cases, the amplitude of a packet may follow the asymptotic law ${t}^{ensuremath{-}ensuremath{alpha}}$, with arbitrary positive $ensuremath{alpha}$." @default.
• W1975695418 created "2016-06-24" @default.
• W1975695418 creator A5015283319 @default.
• W1975695418 creator A5043332827 @default.
• W1975695418 creator A5056569592 @default.
• W1975695418 date "2006-05-09" @default.
• W1975695418 modified "2023-10-16" @default.
• W1975695418 title "Long-time behavior of spreading solutions of Schrödinger and diffusion equations" @default.
• W1975695418 cites W1816275442 @default.
• W1975695418 cites W1884836326 @default.
• W1975695418 cites W1963676473 @default.
• W1975695418 cites W1966497199 @default.
• W1975695418 cites W1967819840 @default.
• W1975695418 cites W1973352373 @default.
• W1975695418 cites W1985529277 @default.
• W1975695418 cites W2015247032 @default.
• W1975695418 cites W2017655979 @default.
• W1975695418 cites W2026518708 @default.
• W1975695418 cites W2032090411 @default.
• W1975695418 cites W2032106546 @default.
• W1975695418 cites W2033306081 @default.
• W1975695418 cites W2033319421 @default.
• W1975695418 cites W2037081832 @default.
• W1975695418 cites W2040035773 @default.
• W1975695418 cites W2043948492 @default.
• W1975695418 cites W2044225994 @default.
• W1975695418 cites W2053488534 @default.
• W1975695418 cites W2062517214 @default.
• W1975695418 cites W2064361774 @default.
• W1975695418 cites W2076142161 @default.
• W1975695418 cites W2081794772 @default.
• W1975695418 cites W2086031034 @default.
• W1975695418 cites W2087622976 @default.
• W1975695418 cites W2106938311 @default.
• W1975695418 cites W2264002775 @default.
• W1975695418 cites W3102999363 @default.
• W1975695418 cites W3103446058 @default.
• W1975695418 cites W3124607094 @default.
• W1975695418 doi "https://doi.org/10.1103/physreve.73.051105" @default.
• W1975695418 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/16802916" @default.
• W1975695418 hasPublicationYear "2006" @default.
• W1975695418 type Work @default.
• W1975695418 sameAs 1975695418 @default.
• W1975695418 citedByCount "7" @default.
• W1975695418 countsByYear W19756954182017 @default.
• W1975695418 crossrefType "journal-article" @default.
• W1975695418 hasAuthorship W1975695418A5015283319 @default.
• W1975695418 hasAuthorship W1975695418A5043332827 @default.
• W1975695418 hasAuthorship W1975695418A5056569592 @default.
• W1975695418 hasConcept C10138342 @default.
• W1975695418 hasConcept C121332964 @default.
• W1975695418 hasConcept C134306372 @default.
• W1975695418 hasConcept C14036430 @default.
• W1975695418 hasConcept C154945302 @default.
• W1975695418 hasConcept C162324750 @default.
• W1975695418 hasConcept C164602753 @default.
• W1975695418 hasConcept C180205008 @default.
• W1975695418 hasConcept C182306322 @default.
• W1975695418 hasConcept C18903297 @default.
• W1975695418 hasConcept C2777212361 @default.
• W1975695418 hasConcept C2777299769 @default.
• W1975695418 hasConcept C3017618536 @default.
• W1975695418 hasConcept C33923547 @default.
• W1975695418 hasConcept C37914503 @default.
• W1975695418 hasConcept C41008148 @default.
• W1975695418 hasConcept C56739046 @default.
• W1975695418 hasConcept C62520636 @default.
• W1975695418 hasConcept C69357855 @default.
• W1975695418 hasConcept C78045399 @default.
• W1975695418 hasConcept C78458016 @default.
• W1975695418 hasConcept C86803240 @default.
• W1975695418 hasConceptScore W1975695418C10138342 @default.
• W1975695418 hasConceptScore W1975695418C121332964 @default.
• W1975695418 hasConceptScore W1975695418C134306372 @default.
• W1975695418 hasConceptScore W1975695418C14036430 @default.
• W1975695418 hasConceptScore W1975695418C154945302 @default.
• W1975695418 hasConceptScore W1975695418C162324750 @default.
• W1975695418 hasConceptScore W1975695418C164602753 @default.
• W1975695418 hasConceptScore W1975695418C180205008 @default.
• W1975695418 hasConceptScore W1975695418C182306322 @default.
• W1975695418 hasConceptScore W1975695418C18903297 @default.
• W1975695418 hasConceptScore W1975695418C2777212361 @default.
• W1975695418 hasConceptScore W1975695418C2777299769 @default.
• W1975695418 hasConceptScore W1975695418C3017618536 @default.
• W1975695418 hasConceptScore W1975695418C33923547 @default.
• W1975695418 hasConceptScore W1975695418C37914503 @default.
• W1975695418 hasConceptScore W1975695418C41008148 @default.
• W1975695418 hasConceptScore W1975695418C56739046 @default.
• W1975695418 hasConceptScore W1975695418C62520636 @default.
• W1975695418 hasConceptScore W1975695418C69357855 @default.
• W1975695418 hasConceptScore W1975695418C78045399 @default.
• W1975695418 hasConceptScore W1975695418C78458016 @default.
• W1975695418 hasConceptScore W1975695418C86803240 @default.
• W1975695418 hasIssue "5" @default.
• W1975695418 hasLocation W19756954181 @default.
• W1975695418 hasLocation W19756954182 @default.
• W1975695418 hasOpenAccess W1975695418 @default.
• W1975695418 hasPrimaryLocation W19756954181 @default.
• W1975695418 hasRelatedWork W1575077847 @default.
• W1975695418 hasRelatedWork W1983290920 @default.

• next