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.

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Buryachenko, K. O. (2019). Local subestimates of solutions to double-phase parabolic equations via nonlinear parabolic potentials. Journal of Mathematical Sciences (United States), 242(6), 772–786. https://doi.org/10.1007/s10958-019-04515-3

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