Accession Number : AD0465692

Title :   HILBERT - SPACE METHODS IN ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV LOS ANGELES NUMERICAL ANALYSIS RESEARCH

Personal Author(s) : Landesman, Edward Milton

Report Date : MAY 1965

Pagination or Media Count : 70

Abstract : The purpose of this paper is to study together with applications those aspects of the theory of Hilbert-Space which are pertinent to the theory of elliptic partial differential equations. This involves the study of an unbounded operator A from one Hilbert-Space to another together with its adjoint A*, its pseudo-inverse or generalized reciprocal A-1, and its *-reciprocal A' = A*-1. In order to carry out the results, further properties of the operators A-1 and A' are developed in this paper. In addition, the concepts of relative compactness and finite character are studied. These concepts play a significant role in the theory of partial differential equations. (Author)

Descriptors :   (*FUNCTIONAL ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS), (*PARTIAL DIFFERENTIAL EQUATIONS, FUNCTIONAL ANALYSIS), THEOREMS, OPERATORS(MATHEMATICS).

Distribution Statement : APPROVED FOR PUBLIC RELEASE