End point gradient estimates for quasilinear parabolic equations with variable exponent growth on nonsmooth domains

Karthik Adimurthi, Sun-Sig Byun, Jung-Tae Park

In this paper, we study quasilinear parabolic equations with the nonlinearity structure modeled after the $p(x,t)$-Laplacian on nonsmooth domains. The main goal is to obtain end po…