FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3192238082> ?p ?o ?g. }

• W3192238082 endingPage "14990" @default.
• W3192238082 startingPage "14955" @default.
• W3192238082 abstract "Abstract We present a new connection between the classical theory of full and truncated moment problems and the theory of partial differential equations, as follows. For the classical heat equation $partial _t u = {nu } Delta u$, with initial data $u_0 in {mathcal {S}}(mathbb {R}^n)$, we first compute the moments $s_{alpha }(t)$ of the unique solution $u in {mathcal {S}}(mathbb {R}^n)$. These moments are polynomials in the time variable, of degree comparable to $alpha $, and with coefficients satisfying a recursive relation. This allows us to define the polynomials for any sequence, and prove that they preserve some of the features of the heat kernel. In the case of moment sequences, the polynomials trace a curve (which we call the heat curve), which remains in the moment cone for positive time, but may wander outside the moment cone for negative time. This provides a description of the boundary points of the moment cone, which are also moment sequences. We also study how the determinacy of a moment sequence behaves along the heat curve. Next, we consider the transport equation $partial _t u = ax cdot nabla u$ and conduct a similar analysis. Along the way we incorporate several illustrating examples. We show that while $partial _t u = {nu }Delta u + axcdot nabla u$ has no explicit solution, the time-dependent moments can be explicitly calculated." @default.
• W3192238082 created "2021-08-16" @default.
• W3192238082 creator A5031759962 @default.
• W3192238082 creator A5079884688 @default.
• W3192238082 date "2022-09-13" @default.
• W3192238082 modified "2023-09-27" @default.
• W3192238082 title "Time-Dependent Moments From the Heat Equation and a Transport Equation" @default.
• W3192238082 cites W1594339747 @default.
• W3192238082 cites W2003862573 @default.
• W3192238082 cites W2036821518 @default.
• W3192238082 cites W2040477106 @default.
• W3192238082 cites W2061186416 @default.
• W3192238082 cites W2081647685 @default.
• W3192238082 cites W2116827925 @default.
• W3192238082 cites W2165281529 @default.
• W3192238082 cites W2170201775 @default.
• W3192238082 cites W2284152333 @default.
• W3192238082 cites W2313382788 @default.
• W3192238082 cites W2521667679 @default.
• W3192238082 cites W2620306317 @default.
• W3192238082 cites W2876051861 @default.
• W3192238082 cites W2962694765 @default.
• W3192238082 cites W3100563640 @default.
• W3192238082 cites W3101397043 @default.
• W3192238082 cites W3136795162 @default.
• W3192238082 cites W404764422 @default.
• W3192238082 cites W4210921079 @default.
• W3192238082 cites W4225887619 @default.
• W3192238082 cites W4229510307 @default.
• W3192238082 cites W4253577938 @default.
• W3192238082 cites W4255072566 @default.
• W3192238082 cites W4315781290 @default.
• W3192238082 doi "https://doi.org/10.1093/imrn/rnac244" @default.
• W3192238082 hasPublicationYear "2022" @default.
• W3192238082 type Work @default.
• W3192238082 sameAs 3192238082 @default.
• W3192238082 citedByCount "0" @default.
• W3192238082 crossrefType "journal-article" @default.
• W3192238082 hasAuthorship W3192238082A5031759962 @default.
• W3192238082 hasAuthorship W3192238082A5079884688 @default.
• W3192238082 hasBestOaLocation W31922380822 @default.
• W3192238082 hasConcept C105795698 @default.
• W3192238082 hasConcept C114614502 @default.
• W3192238082 hasConcept C121332964 @default.
• W3192238082 hasConcept C13355873 @default.
• W3192238082 hasConcept C134306372 @default.
• W3192238082 hasConcept C179254644 @default.
• W3192238082 hasConcept C183212220 @default.
• W3192238082 hasConcept C202787564 @default.
• W3192238082 hasConcept C2524010 @default.
• W3192238082 hasConcept C2778112365 @default.
• W3192238082 hasConcept C2779557605 @default.
• W3192238082 hasConcept C33923547 @default.
• W3192238082 hasConcept C37914503 @default.
• W3192238082 hasConcept C4285052 @default.
• W3192238082 hasConcept C54207081 @default.
• W3192238082 hasConcept C54355233 @default.
• W3192238082 hasConcept C62354387 @default.
• W3192238082 hasConcept C62520636 @default.
• W3192238082 hasConcept C86803240 @default.
• W3192238082 hasConcept C9679016 @default.
• W3192238082 hasConceptScore W3192238082C105795698 @default.
• W3192238082 hasConceptScore W3192238082C114614502 @default.
• W3192238082 hasConceptScore W3192238082C121332964 @default.
• W3192238082 hasConceptScore W3192238082C13355873 @default.
• W3192238082 hasConceptScore W3192238082C134306372 @default.
• W3192238082 hasConceptScore W3192238082C179254644 @default.
• W3192238082 hasConceptScore W3192238082C183212220 @default.
• W3192238082 hasConceptScore W3192238082C202787564 @default.
• W3192238082 hasConceptScore W3192238082C2524010 @default.
• W3192238082 hasConceptScore W3192238082C2778112365 @default.
• W3192238082 hasConceptScore W3192238082C2779557605 @default.
• W3192238082 hasConceptScore W3192238082C33923547 @default.
• W3192238082 hasConceptScore W3192238082C37914503 @default.
• W3192238082 hasConceptScore W3192238082C4285052 @default.
• W3192238082 hasConceptScore W3192238082C54207081 @default.
• W3192238082 hasConceptScore W3192238082C54355233 @default.
• W3192238082 hasConceptScore W3192238082C62354387 @default.
• W3192238082 hasConceptScore W3192238082C62520636 @default.
• W3192238082 hasConceptScore W3192238082C86803240 @default.
• W3192238082 hasConceptScore W3192238082C9679016 @default.
• W3192238082 hasIssue "17" @default.
• W3192238082 hasLocation W31922380821 @default.
• W3192238082 hasLocation W31922380822 @default.
• W3192238082 hasOpenAccess W3192238082 @default.
• W3192238082 hasPrimaryLocation W31922380821 @default.
• W3192238082 hasRelatedWork W1609519381 @default.
• W3192238082 hasRelatedWork W2038961354 @default.
• W3192238082 hasRelatedWork W2075490949 @default.
• W3192238082 hasRelatedWork W2087794844 @default.
• W3192238082 hasRelatedWork W2591871019 @default.
• W3192238082 hasRelatedWork W2767598729 @default.
• W3192238082 hasRelatedWork W2946833940 @default.
• W3192238082 hasRelatedWork W3004990759 @default.
• W3192238082 hasRelatedWork W3192238082 @default.
• W3192238082 hasRelatedWork W4297805202 @default.
• W3192238082 hasVolume "2023" @default.
• W3192238082 isParatext "false" @default.

• next