ON THE PRAGER-SYNGE 'HYPERCIRCLE METHOD IN MATHEMATICAL PHYSICS'

摘要

If' L' denotes the function space spanned by the vectors which "correspond" to the gradients of functions which are twice differentiable with][re¬spect to x and y for points P(x, y) in a plane region Rand assume pre¬scribed values on the boundary C of R, and if L" denotes the function space spanned by the vectors which correspond to vectors in R whose divergence vanishes, then the gradient of the Dirichlet problem for the given region is the intersection S of L' and L".