Generalized Money estimates for the gradient of divergence form parabolic operators with discontinuous coefficients
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Lubomira G. Softova Università Degli Studi Della Campania Luigi Vanvitelli, İtalya
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Differential Equations (Q1) | ||
| Dergi ISSN | 0022-0396 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 09-2015 |
| Cilt / Sayı / Sayfa | 259 / 6 / 2368–2387 | DOI | 10.1016/j.jde.2015.03.032 |
| Makale Linki | https://www.sciencedirect.com/science/article/pii/S0022039615001801 | ||
| Özet |
| Abstract We consider the Cauchy–Dirichlet problem for linear divergence form parabolic operators in bounded Reifenberg-flat domains. The coefficients are supposed to be only measurable in one of the space variables and small BMO with respect to the others. We obtain boundedness of the Hardy–Littlewood maximal operator in the generalized Morrey spaces W p, φ, p∈(1,∞) and weight φ satisfying certain supremum condition. This permits us to obtain Calderón–Zygmund type estimate for the gradient of the weak solution of the problem. |
| Anahtar Kelimeler |
| BMO | Cauchy-Dirichlet problem | Generalized Morrey spaces | Gradient estimates | Measurable coefficients | Parabolic operators | Primary | Secondary |
Science Direct
Generalized Money estimates for the gradient of divergence form parabolic operators with discontinuous coefficients
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Google Scholar | 26 |
| Web of Science | 20 |