The bicaloric problem \((D_ x^ 2-D_ t)^ 2u=f\) for prescribed initial data \(D_ t^ iu(x,0)\), \(i=0,1\) on \(-a\leq x\leq a\) and Lauricella boundary data \(D_ x^ iu(\pm a,t)\), \(i=0,1\), is reduced to an integral equation by means of potentials obtained from the heat kernel. It is announced that the latter has a unique solution. Thereby the original problem has a solution on any prescribed finite time interval.