Local sub-estimates of solutions to double phase parabolic equations via nonlinear parabolic potentials
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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| Date: | 2019 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2019
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| Series: | Український математичний вісник |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Local sub-estimates of solutions to double phase parabolic equations via nonlinear parabolic potentials / K.O. Buryachenko // Український математичний вісник. — 2019. — Т. 16, № 1. — С. 28-45. — Бібліогр.: 23 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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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