Linear response formulas are established for invariant densities and observables of perturbed SDEs on the torus, followed by existence, uniqueness, and explicit characterization of optimal drift perturbations that maximize first-order observable variation, with Fourier numerics demonstrated in low-
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Derives explicit Lipschitz stability estimates for simultaneous recovery of density coefficient and initial displacement in a damped biharmonic wave equation from boundary measurements of Δu and its normal derivative.
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Lipschitz Stability for an Inverse Problem of Biharmonic Wave Equations with Damping
Derives explicit Lipschitz stability estimates for simultaneous recovery of density coefficient and initial displacement in a damped biharmonic wave equation from boundary measurements of Δu and its normal derivative.