Upper and Lower Bounds for Solutions of Linear Operator Problems with Unilateral Constraints.
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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Dual extremum principles characterizing the solutions of problems for a positive-definite self-adjoint operator on a Hilbert space which involve unilateral constraints are formulated using a Hilbert space decomposition theorem due to Moreau. Various upper and lower bounds involving the solutions to subsidiary problems with less restrictive conditions than the solution to the original problem.
- Theoretical Mathematics