Stable solvability of Pad� difference schemes for parabolic equations in H�lder spaces

Abstract

We study Pade difference scheme for the approximate solution of the Cauchy problem for parabolic equations generated by the Pade fractions Rj,l, of exponential approximation. We establish an estimate of the coerciveness of the difference schemes for j=l−2,l −1, or even j=l in a smaller space than C0α(E).