Existence of Weak Solutions of Aggregation Integro-Differential Equations

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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
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D O I
10.1007/s10958-021-05661-3
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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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