Besov Estimates for Weak Solutions of the Parabolic p-Laplacian Equations

In this paper, we obtain the local regularity estimates in Besov spaces of weak solutions for the following parabolic p-Laplacian equations: $$\begin{aligned} u_{t}-\text {div} ~\! a \left( Du, x,t \right) =\text {div}~ {\mathbf {F}} \end{aligned}$$ under some proper assumptions on the functions a and $${\mathbf {F}}$$ . Moreover, we would like to point out that our results improve the known results for such equations.