Accession Number : AD0681479

Title :   APPROXIMATION OF NON-HOMOGENEOUS NEUMANN PROBLEMS - REGULARITY OF THE CONVERGENCE AND ESTIMATES OF ERRORS IN TERMS OF n-WIDTH.

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 n-width. 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