Properties Of Solutions Of Two Parabolic Equations With Time Integral

This paper studied the properties of solutions of two kinds parabolic equa-tions with time integral.In the second chapter we dedicate to studying the following semi-linearparabolic equation with homogeneous Drichlet boundary condition u_t-△u=integral from n=0 to t((t-τ)f(u(x,τ))dτ)+u(x,t).we can obtain the blow-up conditions for the solution, and obtain the blow-uprate of the solution when f(x) is special.In the third chapter we consider the following degenerate reaction-diffusionequation with nonlinear memory (u~k)_t-△u=u~q integral from n=0 to t(u~pds),where 0＜k＜1, p, q＞0. The upper and lower solution method is used in thischapter to obtain the global and blow-up properties for the solution, also we canobtain the blow-up rate of the solution.