Complementary bivariational principles for linear problems involving non-self-adjoint operators

DOI10.1017/S0308210500012051zbMath0473.49033OpenAlexW2320841716MaRDI QIDQ3927778

Richard John Cole

Publication date: 1980

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500012051

zbMATH Keywords

non-self-adjoint operatorsprinciplesbivariational boundscomplementary bivariational

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Fredholm integral equations (45B05) Variational principles of physics (49S05)

Related Items (3)

Optimal bounds for bilinear forms associated with linear equations ⋮ Computable error bounds for variational functionals of solutions of a convolution integral equations of the first kind ⋮ Complementary bounds for inner products associated with non-linear equations

Cites Work

• Complementary variational principles for free molecular channel flow
• Bivariational bounds
• Some complementary bivariational principles for linear integral equations of Fredholm type
• 9.—Bivariational Bounds associated with Non-self-adjoint Linear Operators
• New variational bounds on generalized polarizabilities
• Complementary Variational Principles for Knudsen Flow Rates
• Dual extremum principles for the heat equation
• Pointwise Bivariational Bounds on Solutions of Fredholm Integral Equations

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