HILBERT - SPACE METHODS IN ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS.

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)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1965
Accession Number
AD0465692

Entities

People

  • Edward Milton Landesman

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Hilbert Space
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Personality

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra

Technology Areas

  • Space