Accession Number : AD0763837

Title :   On Dual-Complementary Variational Principles in Mathematical Physics,

Corporate Author : ALABAMA UNIV HUNTSVILLE SCHOOL OF GRADUATE STUDIES AND RESEARCH

Personal Author(s) : Oden,J. T. ; Reddy,J. N.

Report Date : FEB 1973

Pagination or Media Count : 49

Abstract : A study of boundary value problems involving T*T-operators is given. Problems in mathematical physics can be decomposed into 3 canonical equations. Variational principles can be developed corresponding to these equations. Likewise, for any operator T one can construct a dual pair of operators S*S. A dual system of canonical equations can be developed with corresponding variational principles. Consequently, a set of 8 complementary and dual complementary variational principles suggest themselves. A number of applications are cited, together with extensions of nonlinear problems. (Author)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, *FUNCTIONAL ANALYSIS), BOUNDARY VALUE PROBLEMS, PARTIAL DIFFERENTIAL EQUATIONS, TENSOR ANALYSIS, INTEGRALS, NUMERICAL ANALYSIS, ELECTROSTATICS, POTENTIAL THEORY

Subject Categories : Theoretical Mathematics
      Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE