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Proof of extensions of two conjectures on structural damping for elastic systems

Proof of extensions of two conjectures on structural damping for elastic systems

Let A (the elastic operator) be a positive, self-adjoint operator with domain D(A) in the Hubert space X, and let B (the dissipation operator) be another positive, self-adjoint operator satisfying: p\Aa < B < p 2Aa for some constants 0 < pi < pi < oo and 0 < a …