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https://elib.bsu.by/handle/123456789/288202| Title: | Global existence of solutions of a semilinear heat equation with nonlinear memory condition |
| Authors: | Gladkov, Alexander Guedda, Mohammed |
| Keywords: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика |
| Issue Date: | 2020 |
| Publisher: | Taylor and Francis Ltd. |
| Citation: | Appl Anal 2020;99(16):2823-2832. |
| Abstract: | We consider a semilinear parabolic equation with flux at the boundary governed by a nonlinear memory. We give some conditions for this problem which guarantee global existence of solutions as well as blow-up in finite time of all nontrivial solutions. The results depend on the behavior of variable coefficients as (Formula presented.). |
| URI: | https://elib.bsu.by/handle/123456789/288202 |
| DOI: | 10.1080/00036811.2019.1584291 |
| Scopus: | 85062348135 |
| Sponsorship: | The first author was supported by the “RUDN University Program 5-100” and the State Program of Fundamental Research of Belarus (grant 1.2.03.1). The second author was supported by DAI-UPJV F-Amiens. The first author is grateful to the University of Picardie Jules Verne, since a part of this work was done while he enjoyed the hospitality of this university. |
| Licence: | info:eu-repo/semantics/openAccess |
| Appears in Collections: | Кафедра математической кибернетики (статьи) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 1903.11822.pdf | 160,37 kB | Adobe PDF | View/Open |
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