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This paper studies the observability and null controllability for a class of one-dimensional fourth order parabolic equation. By means of establishing the global Carleman estimates, we derive the observability inequalities for one-dimensional linear fourth order parabolic equation with potentials. The null controllability results for one-dimensional fourth order semilinear equation are also presented.

OBSERVABILITY ESTIMATE AND NULL CONTROLLABILITY FOR ONE-DIMENSIONAL FOURTH ORDER PARABOLIC EQUATION