Pointwise estimates of solutions to weighted parabolic p-Laplacian equation via Wolff potential

Abstract

For the weighted parabolic equation \v\left(x \right)u_{t} -{\hbox{div}({w(x)| \nabla u |^{p-2}}} \nabla u) = f , p >{2} we prove the local boundedness for weak solutions in terms of the weighted Wolff potential of the right-hand side of equation.