Abstract
We prove a Carleman estimate with singular weight for general second order parabolic operators. As a consequence we get an optimal three cylinder inequality for any solution, u, of a second order parabolic equation Lu=0, in D× (−T, T), where Dis a domain of and Tis a positive number. Further, we prove that if , for every and every t∈(−T, T), then uvanishes in D× (−T, T).
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