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We are concerned with the inverse problem of determining both the potentialand the damping coefficient in a dissipative wave equation from boundarymeasurements. We establish stability estimates of logarithmic type when themeasurements are given by the operator who maps the initial condition toNeumann boundary trace of the solution of the corresponding initial-boundaryvalue problem. We build a method combining an observability inequality togetherwith a spectral decomposition. We also apply this method to a clampedEuler-Bernoulli beam equation. Finally, we indicate how the present approachcan be adapted to a heat equation.

Logarithmic stability in determining two coefficients in a dissipative wave equation. Extensions to clamped Euler-Bernoulli beam and heat equations