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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| Published in: | Український математичний вісник |
|---|---|
| Date: | 2019 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2019
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/169430 |
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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| _version_ | 1862565411960127488 |
|---|---|
| author | Buryachenko, K.O. |
| author_facet | Buryachenko, K.O. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | 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.
|
| first_indexed | 2025-11-25T23:55:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169430 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-11-25T23:55:33Z |
| publishDate | 2019 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Buryachenko, K.O. 2020-06-13T08:20:23Z 2020-06-13T08:20:23Z 2019 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. 1810-3200 2010 MSC. 35B40, 35B45, 35J62, 35K59 https://nasplib.isofts.kiev.ua/handle/123456789/169430 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. This work is supported by grants of Ministry of Education and Science of Ukraine, project numbers are 0118U003138, 0119U100421. en Інститут прикладної математики і механіки НАН України Український математичний вісник Local sub-estimates of solutions to double phase parabolic equations via nonlinear parabolic potentials Article published earlier |
| spellingShingle | Local sub-estimates of solutions to double phase parabolic equations via nonlinear parabolic potentials Buryachenko, K.O. |
| title | Local sub-estimates of solutions to double phase parabolic equations via nonlinear parabolic potentials |
| title_full | Local sub-estimates of solutions to double phase parabolic equations via nonlinear parabolic potentials |
| title_fullStr | Local sub-estimates of solutions to double phase parabolic equations via nonlinear parabolic potentials |
| title_full_unstemmed | Local sub-estimates of solutions to double phase parabolic equations via nonlinear parabolic potentials |
| title_short | Local sub-estimates of solutions to double phase parabolic equations via nonlinear parabolic potentials |
| title_sort | local sub-estimates of solutions to double phase parabolic equations via nonlinear parabolic potentials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169430 |
| work_keys_str_mv | AT buryachenkoko localsubestimatesofsolutionstodoublephaseparabolicequationsvianonlinearparabolicpotentials |