Matches in SemOpenAlex for { <https://semopenalex.org/work/W1981496941> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W1981496941 endingPage "556" @default.
- W1981496941 startingPage "537" @default.
- W1981496941 abstract "In this paper, we establish some further results on the asymptotic growth behaviour of entire solutions to iterated Dirac equations in ℝn. Solutions to this type of systems of partial differential equations are often called polymonogenic or k-monogenic. In the particular cases where k is even, one deals with polyharmonic functions. These are of central importance for a number of concrete problems arising in engineering and physics, such as for example in the case of the biharmonic equation for the description of the stream function in the Stokes flow regime with low Reynolds numbers and for elasticity problems in plates. The asymptotic study that we are going to perform within the context of these PDE departs from the Taylor series representation of their solutions. Generalizations of the maximum term and the central index serve as basic tools in our analysis. By applying these tools we then establish explicit asymptotic relations between the growth behaviour of polymonogenic functions, the growth behaviour of their iterated radial derivatives and that of functions obtained by applying iterations of the Γ operator to them. Copyright © 2005 John Wiley & Sons, Ltd." @default.
- W1981496941 created "2016-06-24" @default.
- W1981496941 creator A5015934177 @default.
- W1981496941 creator A5022788595 @default.
- W1981496941 creator A5039391253 @default.
- W1981496941 date "2006-01-01" @default.
- W1981496941 modified "2023-09-27" @default.
- W1981496941 title "Further results on the asymptotic growth of entire solutions of iterated Dirac equations in ℝn" @default.
- W1981496941 cites W1971075478 @default.
- W1981496941 cites W1972829580 @default.
- W1981496941 cites W1982605414 @default.
- W1981496941 cites W1987374939 @default.
- W1981496941 cites W2042686367 @default.
- W1981496941 cites W2045687102 @default.
- W1981496941 cites W2059327438 @default.
- W1981496941 cites W2059412282 @default.
- W1981496941 cites W2169643503 @default.
- W1981496941 cites W2477819211 @default.
- W1981496941 cites W2482583072 @default.
- W1981496941 cites W645400530 @default.
- W1981496941 cites W883733471 @default.
- W1981496941 doi "https://doi.org/10.1002/mma.689" @default.
- W1981496941 hasPublicationYear "2006" @default.
- W1981496941 type Work @default.
- W1981496941 sameAs 1981496941 @default.
- W1981496941 citedByCount "6" @default.
- W1981496941 countsByYear W19814969412015 @default.
- W1981496941 crossrefType "journal-article" @default.
- W1981496941 hasAuthorship W1981496941A5015934177 @default.
- W1981496941 hasAuthorship W1981496941A5022788595 @default.
- W1981496941 hasAuthorship W1981496941A5039391253 @default.
- W1981496941 hasConcept C11683690 @default.
- W1981496941 hasConcept C134306372 @default.
- W1981496941 hasConcept C140479938 @default.
- W1981496941 hasConcept C145784156 @default.
- W1981496941 hasConcept C151730666 @default.
- W1981496941 hasConcept C182310444 @default.
- W1981496941 hasConcept C205147927 @default.
- W1981496941 hasConcept C2779343474 @default.
- W1981496941 hasConcept C28826006 @default.
- W1981496941 hasConcept C33923547 @default.
- W1981496941 hasConcept C86803240 @default.
- W1981496941 hasConcept C93779851 @default.
- W1981496941 hasConceptScore W1981496941C11683690 @default.
- W1981496941 hasConceptScore W1981496941C134306372 @default.
- W1981496941 hasConceptScore W1981496941C140479938 @default.
- W1981496941 hasConceptScore W1981496941C145784156 @default.
- W1981496941 hasConceptScore W1981496941C151730666 @default.
- W1981496941 hasConceptScore W1981496941C182310444 @default.
- W1981496941 hasConceptScore W1981496941C205147927 @default.
- W1981496941 hasConceptScore W1981496941C2779343474 @default.
- W1981496941 hasConceptScore W1981496941C28826006 @default.
- W1981496941 hasConceptScore W1981496941C33923547 @default.
- W1981496941 hasConceptScore W1981496941C86803240 @default.
- W1981496941 hasConceptScore W1981496941C93779851 @default.
- W1981496941 hasIssue "5" @default.
- W1981496941 hasLocation W19814969411 @default.
- W1981496941 hasOpenAccess W1981496941 @default.
- W1981496941 hasPrimaryLocation W19814969411 @default.
- W1981496941 hasRelatedWork W1970790342 @default.
- W1981496941 hasRelatedWork W1981496941 @default.
- W1981496941 hasRelatedWork W2012359720 @default.
- W1981496941 hasRelatedWork W2153135161 @default.
- W1981496941 hasRelatedWork W3043663456 @default.
- W1981496941 hasRelatedWork W3153905530 @default.
- W1981496941 hasRelatedWork W3793106 @default.
- W1981496941 hasRelatedWork W4226402869 @default.
- W1981496941 hasRelatedWork W4300852863 @default.
- W1981496941 hasRelatedWork W2182015452 @default.
- W1981496941 hasVolume "29" @default.
- W1981496941 isParatext "false" @default.
- W1981496941 isRetracted "false" @default.
- W1981496941 magId "1981496941" @default.
- W1981496941 workType "article" @default.