  In this work we study the solvability of the Cauchy Problem for a quasilinear
degenerate high-order parabolic equation \begin{equation*}
  \left\{
  \begin{tabular}{lcl}
  $u_t=(-1)^{m-1}\nabla\cdot(f^n(|u|)\nabla\Delta^{m-1}u)$ & &in
$\mathbb{R}^N\times\mathbb{R}_+$,
  $u(x,0)=u_0(x)$& & in $\mathbb{R}^N$,
  \end{tabular}
  \right. \end{equation*} with $m\in\mathbb{N},\ m>1$ and $n>0$ a fixed
exponent. Moreover, $f$ is a continuous monotone increasing positive bounded
function with $f(0)=0$ and the initial data $u_0(x)$ is bounded smooth and
compactly supported. Thus, through an homotopy argument based on an analytic
$\varepsilon$-regularization of the degenerate term $f^n(|u|)$ we are able to
extract information about the solutions inherited from the polyharmonic
equation when $n=0$.
