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

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.