
Accession Number : AD0681479
Title : APPROXIMATION OF NONHOMOGENEOUS NEUMANN PROBLEMS  REGULARITY OF THE CONVERGENCE AND ESTIMATES OF ERRORS IN TERMS OF nWIDTH.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Aubin,Jean Pierre
Report Date : AUG 1968
Pagination or Media Count : 47
Abstract : A process of approximation of a linear problem is constructed such that, under suitable assumptions, the convergence holds in the space where the solution actually lies. Under the same type of assumptions, the error behaves like the nwidth. These results are applied to the approximation of solutions of Neumann variational boundary value problems with irregular data on the boundary. (Author)
Descriptors : (*FUNCTIONAL ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS), (*PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS), BOUNDARY VALUE PROBLEMS, APPROXIMATION(MATHEMATICS), OPERATORS(MATHEMATICS), BANACH SPACE, HILBERT SPACE, POLYNOMIALS, CONVERGENCE, STABILITY, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE