Green's identities

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo vector fields
scalar fields
gptkbp:dimensions three-dimensional space
gptkbp:field mathematical analysis
vector calculus
gptkbp:firstIdentity relates volume integral of Laplacian to surface integral
gptkbp:generalizes higher dimensions
integration by parts
https://www.w3.org/2000/01/rdf-schema#label Green's identities
gptkbp:namedAfter gptkb:George_Green
gptkbp:numberOfIdentities 3
gptkbp:relatedTo gptkb:Stokes'_theorem
gptkb:Green's_theorem
gptkb:divergence_theorem
gptkbp:secondIdentity relates two scalar functions and their Laplacians
gptkbp:thirdIdentity special case of second identity
gptkbp:usedIn mathematical physics
partial differential equations
potential theory
gptkbp:bfsParent gptkb:Laplace_operator
gptkb:Green's_function
gptkbp:bfsLayer 6