  We consider mixed local and nonlocal quasilinear parabolic equations of
$p$-Laplace type and discuss several regularity properties of weak solutions
for such equations. More precisely, we establish local boundeness of weak
subsolutions, lower semicontinuity of weak supersolutions as well as upper
semicontinuity of weak subsolutions. We also discuss the pointwise behavior of
the semicontinuous representatives. Our main results are valid for sign
changing solutions. Our approach is purely analytic and is based on energy
estimates and the De Giorgi theory.
