Representation of vector fields

dc.citation.doi	http://doi.org/10.14419/gjma.v3i2.4577	en_US
dc.citation.epage	76	en_US
dc.citation.issn	2307-9002	en_US
dc.citation.issue	2	en_US
dc.citation.jtitle	Global Journal of Mathematical Analysis	en_US
dc.citation.spage	73	en_US
dc.citation.volume	3	en_US
dc.contributor.author	Ramm, Alexander G.
dc.contributor.authoreid	ramm	en_US
dc.date.accessioned	2015-08-04T00:47:07Z
dc.date.available	2015-08-04T00:47:07Z
dc.date.issued	2015-06-01
dc.date.published	2015	en_US
dc.description.abstract	A simple proof is given for the explicit formula which allows one to recover a C2 – smooth vector field A=A(x) in R3, decaying at infinity, from the knowledge of its ∇×A and ∇⋅A. The representation of A as a sum of the gradient field and a divergence-free vector fields is derived from this formula. Similar results are obtained for a vector field in a bounded C2 - smooth domain.	en_US
dc.identifier.uri	http://hdl.handle.net/2097/20128
dc.language.iso	en_US	en_US
dc.publisher	Science Publishing Corporation	en_US
dc.relation.uri	http://doi.org/10.14419/gjma.v3i2.4577	en_US
dc.rights	Attribution 3.0 Unported (CC BY 3.0)	en_US
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/
dc.subject	Vector fields; Representation of vector fields	en_US
dc.title	Representation of vector fields	en_US
dc.type	Article (publisher version)	en_US