Higher regularity of solutions of singular parabolic equations with variable nonlinearity Научная публикация
| Журнал |
Applicable Analysis
ISSN: 0003-6811 |
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| Вых. Данные | Год: 2019, Том: 98, Номер: 1-2, Страницы: 310-331 Страниц : 22 DOI: 10.1080/00036811.2017.1382690 | ||||||
| Ключевые слова | Nonlinear parabolic equations; regularity of solutions; singular equations; variable nonlinearity | ||||||
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Реферат:
We study the global regularity of solutions of the homogeneous Dirichlet problem for the parabolic equation with variable nonlinearity (Formula presented.) where p(x, t), (Formula presented.) are given functions of their arguments, (Formula presented.) and (Formula presented.). Conditions on the data are found that guarantee the existence of a unique strong solution such that (Formula presented.) and (Formula presented.). It is shown that if (Formula presented.) with (Formula presented.), p and (Formula presented.) are Hölder-continuous in (Formula presented.), (Formula presented.) and (Formula presented.), then for every strong solution (Formula presented.) with any (Formula presented.).
Библиографическая ссылка:
Antontsev S.
, Shmarev S.
Higher regularity of solutions of singular parabolic equations with variable nonlinearity
Applicable Analysis. 2019. V.98. N1-2. P.310-331. DOI: 10.1080/00036811.2017.1382690 WOS Scopus РИНЦ OpenAlex
Higher regularity of solutions of singular parabolic equations with variable nonlinearity
Applicable Analysis. 2019. V.98. N1-2. P.310-331. DOI: 10.1080/00036811.2017.1382690 WOS Scopus РИНЦ OpenAlex
Идентификаторы БД:
| Web of science: | WOS:000458651400015 |
| Scopus: | 2-s2.0-85030560989 |
| РИНЦ: | 41773145 |
| OpenAlex: | W2760819725 |