Higher regularity of solutions of singular parabolic equations with variable nonlinearity Full article
| Journal |
Applicable Analysis
ISSN: 0003-6811 |
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| Output data | Year: 2019, Volume: 98, Number: 1-2, Pages: 310-331 Pages count : 22 DOI: 10.1080/00036811.2017.1382690 | ||||||
| Tags | Nonlinear parabolic equations; regularity of solutions; singular equations; variable nonlinearity | ||||||
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Abstract:
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.).
Cite:
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
Identifiers:
| Web of science: | WOS:000458651400015 |
| Scopus: | 2-s2.0-85030560989 |
| Elibrary: | 41773145 |
| OpenAlex: | W2760819725 |