The Existence of Solutions of The Nonlinear Fourth-order Parabolic Equations

Abstract:

      In this note, initial value problems (16) (17)and mixed boundary value problems (23) (24) (25 )bor non-linear parabolic equations are discurred. By means of the schauder type estimates of the linear parabolic equtions and the embedding theorem in Nikol'skii spaces, we show that these problems have Aolutions inthe space H^4-a?(4+a)/2(D_n-1^T)(H^4+a?(4-a)/2)Q^T