Local subestimates of solutions to double-phase parabolic equations via nonlinear parabolic potentials


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Abstract

For parabolic equations with nonstandard growth conditions, we prove local boundedness of weak solutions in terms of nonlinear parabolic potentials of the right-hand side of the equation.

About the authors

Kateryna O. Buryachenko

Kateryna Oleksandrivna Buryachenko Vasyl’ Stus Donetsk National University

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Email: katarzyna_@ukr.net
Ukraine, Vinnytsia

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