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Observability Estimate for the Wave Equation with Variable Coefficients
This paper is devoted to a study of an observability estimate for the wave equation with variable coefficients $(h^{jk}(x))_{n\times n}$ ($n\in{{\mathop{\rm l\negthinspace N}}})$. We consider the observation point lying both outside the domain and inside the domain. Based on a Carleman estimate for the ultrahyperbolic operator and a delicate treatment …