Harnack's inequality for degenerate double phase parabolic equations under the non-logarithmic Zhikov's condition

Mariia Savchenko, Igor Skrypnik, Yevgeniia Yevgenieva

We prove Harnack's type inequalities for bounded non-negative solutions of degenerate parabolic equations with $(p,q)$ growth $$ u_{t}-{\rm div}\left(\mid \nabla u \mid^{p-2}\nabla…