FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3048292655> ?p ?o ?g. }

• W3048292655 endingPage "81" @default.
• W3048292655 startingPage "43" @default.
• W3048292655 abstract "This article describes the emergence of formal methods in theory of partial differential equations (PDE) in the French school of mathematics through Janet’s work in the period 1913–1930. In his thesis and in a series of articles published during this period, Janet introduced an original formal approach to deal with the solvability of the problem of initial conditions for finite linear PDE systems. His constructions implicitly used an interpretation of a monomial PDE system as a generating family of a multiplicative set of monomials. He introduced an algorithmic method on multiplicative sets to compute compatibility conditions, and to study the problem of the existence and the uniqueness of a solution to a linear PDE system with given initial conditions. The compatibility conditions are formulated using a refinement of the division operation on monomials defined with respect to a partition of the set of variables into multiplicative and non-multiplicative variables. Janet was a pioneer in the development of these algorithmic methods, and the completion procedure that he introduced on polynomials was the first one in a long and rich series of works on completion methods which appeared independently throughout the twentieth-century in various algebraic contexts." @default.
• W3048292655 created "2020-08-13" @default.
• W3048292655 creator A5063718422 @default.
• W3048292655 creator A5080826139 @default.
• W3048292655 date "2020-08-10" @default.
• W3048292655 modified "2023-09-26" @default.
• W3048292655 title "Maurice Janet’s algorithms on systems of linear partial differential equations" @default.
• W3048292655 cites W1502275126 @default.
• W3048292655 cites W1533668960 @default.
• W3048292655 cites W1540562698 @default.
• W3048292655 cites W1588161927 @default.
• W3048292655 cites W1633064611 @default.
• W3048292655 cites W1968936725 @default.
• W3048292655 cites W1971064965 @default.
• W3048292655 cites W1973615295 @default.
• W3048292655 cites W1974507993 @default.
• W3048292655 cites W1982438618 @default.
• W3048292655 cites W1992373021 @default.
• W3048292655 cites W2004746351 @default.
• W3048292655 cites W2008491609 @default.
• W3048292655 cites W2016962272 @default.
• W3048292655 cites W2017962012 @default.
• W3048292655 cites W2018360256 @default.
• W3048292655 cites W2018364583 @default.
• W3048292655 cites W2018926461 @default.
• W3048292655 cites W2037765259 @default.
• W3048292655 cites W2039225816 @default.
• W3048292655 cites W2049809652 @default.
• W3048292655 cites W2072826712 @default.
• W3048292655 cites W2316437449 @default.
• W3048292655 cites W2600013800 @default.
• W3048292655 cites W2600059369 @default.
• W3048292655 cites W2601000858 @default.
• W3048292655 cites W2601558186 @default.
• W3048292655 cites W2603851843 @default.
• W3048292655 cites W2781489572 @default.
• W3048292655 cites W3139898295 @default.
• W3048292655 cites W3140292214 @default.
• W3048292655 cites W4214626110 @default.
• W3048292655 cites W4249151633 @default.
• W3048292655 cites W4252077841 @default.
• W3048292655 cites W434331358 @default.
• W3048292655 cites W559995302 @default.
• W3048292655 cites W570307784 @default.
• W3048292655 doi "https://doi.org/10.1007/s00407-020-00255-y" @default.
• W3048292655 hasPublicationYear "2020" @default.
• W3048292655 type Work @default.
• W3048292655 sameAs 3048292655 @default.
• W3048292655 citedByCount "3" @default.
• W3048292655 countsByYear W30482926552021 @default.
• W3048292655 countsByYear W30482926552022 @default.
• W3048292655 crossrefType "journal-article" @default.
• W3048292655 hasAuthorship W3048292655A5063718422 @default.
• W3048292655 hasAuthorship W3048292655A5080826139 @default.
• W3048292655 hasBestOaLocation W30482926552 @default.
• W3048292655 hasConcept C11252640 @default.
• W3048292655 hasConcept C11413529 @default.
• W3048292655 hasConcept C134306372 @default.
• W3048292655 hasConcept C136119220 @default.
• W3048292655 hasConcept C202444582 @default.
• W3048292655 hasConcept C2777021972 @default.
• W3048292655 hasConcept C28826006 @default.
• W3048292655 hasConcept C33923547 @default.
• W3048292655 hasConcept C42747912 @default.
• W3048292655 hasConcept C46132437 @default.
• W3048292655 hasConcept C9376300 @default.
• W3048292655 hasConcept C93779851 @default.
• W3048292655 hasConceptScore W3048292655C11252640 @default.
• W3048292655 hasConceptScore W3048292655C11413529 @default.
• W3048292655 hasConceptScore W3048292655C134306372 @default.
• W3048292655 hasConceptScore W3048292655C136119220 @default.
• W3048292655 hasConceptScore W3048292655C202444582 @default.
• W3048292655 hasConceptScore W3048292655C2777021972 @default.
• W3048292655 hasConceptScore W3048292655C28826006 @default.
• W3048292655 hasConceptScore W3048292655C33923547 @default.
• W3048292655 hasConceptScore W3048292655C42747912 @default.
• W3048292655 hasConceptScore W3048292655C46132437 @default.
• W3048292655 hasConceptScore W3048292655C9376300 @default.
• W3048292655 hasConceptScore W3048292655C93779851 @default.
• W3048292655 hasIssue "1" @default.
• W3048292655 hasLocation W30482926551 @default.
• W3048292655 hasLocation W30482926552 @default.
• W3048292655 hasLocation W30482926553 @default.
• W3048292655 hasLocation W30482926554 @default.
• W3048292655 hasLocation W30482926555 @default.
• W3048292655 hasLocation W30482926556 @default.
• W3048292655 hasLocation W30482926557 @default.
• W3048292655 hasOpenAccess W3048292655 @default.
• W3048292655 hasPrimaryLocation W30482926551 @default.
• W3048292655 hasRelatedWork W173280241 @default.
• W3048292655 hasRelatedWork W2025513431 @default.
• W3048292655 hasRelatedWork W2029479765 @default.
• W3048292655 hasRelatedWork W2333116032 @default.
• W3048292655 hasRelatedWork W2560697522 @default.
• W3048292655 hasRelatedWork W2939071790 @default.
• W3048292655 hasRelatedWork W2952427188 @default.
• W3048292655 hasRelatedWork W3037637641 @default.
• W3048292655 hasRelatedWork W3215086324 @default.

• next