Existence of Weak Solutions of Aggregation Integro-Differential Equations

被引：0
|
作者：
Vildanova V.F. [1 ]
Mukminov F.K. [2 ,3 ]
机构：
[1] Bashkir State Pedagogical University, Ufa
[2] Institute of Mathematics with Computer Center of the RAS, Ufa
[3] Ufa State Aviation Technical University, Ufa
来源：
Journal of Mathematical Sciences | 2021年 / 259卷 / 6期
关键词：
D O I：
10.1007/s10958-021-05661-3
中图分类号：
学科分类号：
摘要：
In this work, we investigate the mixed problem for anisotropic integro-differential equations with variable nonlinearity indices. Using the digitization method with respect to time, we prove the existence of a weak solution in a bounded cylinder. We provide a lifetime estimate for the solution. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：775 / 790
页数：15
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