On the weak Harnack inequality for unbounded non-negative super-solutions of degenerate double-phase parabolic equations

Abstract

In the case $q>p\frac{n+2}{n}$, we give a proof of the weak Harnack inequality for non-negative super-solutions of degenerate double-phase parabolic equations under the additional assumption that $u\in L_{loc}^s({\Omega }_T)$ with some $s>p\frac{n+2}{n}$.