  First, using the uniform decomposition in both physical and frequency spaces,
we obtain an equivalent norm on modulation spaces. Secondly, we consider the
Cauchy problem for the dissipative evolutionary pseudo-differential equation
\partial_t u + A(x,D) u = F\big((\partial^\alpha_x u)_{|\alpha|\leq
\kappa}\big), \ \ u(0,x)= u_0(x), where $A(x,D)$ is a dissipative
pseudo-differential operator and $F(z)$ is a multi-polynomial. We will develop
the uniform decomposition techniques in both physical and frequency spaces to
study its local well posedness in modulation spaces $M^s_{p,q}$ and in Sobolev
spaces $H^s$. Moreover, the local solution can be extended to a global one in
$L^2$ and in $H^s$ ($s>\kappa+d/2$) for certain nonlinearities.
