Accession Number:

AD0763837

Title:

On Dual-Complementary Variational Principles in Mathematical Physics,

Descriptive Note:

Corporate Author:

ALABAMA UNIV HUNTSVILLE SCHOOL OF GRADUATE STUDIES AND RESEARCH

Personal Author(s):

Report Date:

1973-02-01

Pagination or Media Count:

49.0

Abstract:

A study of boundary value problems involving TT-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 SS. 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

Subject Categories:

  • Theoretical Mathematics
  • Quantum Theory and Relativity

Distribution Statement:

APPROVED FOR PUBLIC RELEASE