Local and blowing-up solutions for an integro-differential diffusion equation and system
| Autor: | Borikhanov, Meiirkhan, Torebek, Berikbol T. |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Chaos, Solitons and Fractals, 148 (2021), 1-18 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.chaos.2021.111041 |
| Popis: | In the present paper initial problems for the semilinear integro-differential diffusion equation and system are considered. The analogue of Duhamel principle for the linear integro-differential diffusion equation is proved. The results on existence of local mild solutions and Fujita-type critical exponents to the semilinear integro-differential diffusion equation and system are presented. Comment: 27 pages |
| Databáze: | arXiv |
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