A Unique Continuation Result For A Fourth-order Parabolic Equation

In this paper,we consider a Cauchy problem and related unique continuation for a fourth-order parabolic equations.we consider the following Cauchy problem:(?)Specifically,we will determine z in a subset of(0,1)x(0,T)by f,g,g1,g2,g3.To do this,we first establish a new Carleman estimates for the equation by choosing suit-able weight function.Then,by using this Carleman estimate,we obtain a stability result for the above Cauchy problem.And the unique continuation results is also implied by the stability for the Cauchy problem.