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

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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. Click to show full 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.

Keywords: parabolic potentials; subestimates solutions; local subestimates; nonlinear parabolic; solutions double; parabolic equations

Journal Title: Journal of Mathematical Sciences
Year Published: 2019

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