On Dual-Complementary Variational Principles in Mathematical Physics,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1973
- Accession Number
- AD0763837
Entities
People
- J. Tinsley Oden
- Junuthula N. Reddy
Organizations
- University of Alabama in Huntsville