
Accession Number : AD0763837
Title : On DualComplementary 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*Toperators 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