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https://doi.org/10.37069/1683-4720-2022-36-07
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Cite Publication Date: Feb 27, 2023 |
Affiliation: Donbass State Engineering Academy
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.
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