H\"{o}lder regularity for mixed local and nonlocal $p$-Laplace parabolic equations

We give a unified proof of H"{o}lder regularity of weak solutions for mixed local and nonlocal $p$-Laplace type parabolic equations with the full range of exponents $1<p<\mathrm{\infty }$. Our proof is based on the expansion of positivity together with the energy estimate and De Giorgi type lemma.