Upper and Lower Bounds for Solutions of Linear Operator Problems with Unilateral Constraints.

摘要

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.