Geodesic
Existence of weak solution of the aggregation integro-differential equation
Contemporary Mathematics. Fundamental Directions, Differential and functional differential equations, Tome 63 (2017) no. 4, pp. 557-572

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In this work, we investigate the mixed problem for anisotropic integro-differential equation with variable nonlinearity indices. Using the discretization method with respect to time, we prove the existence of a weak solution in a bounded cylinder. We give an estimate of the lifetime of the solition. 
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     author = {V. F. Vildanova and F. Kh. Mukminov},
     title = {Existence of weak solution of the aggregation integro-differential equation},
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V. F. Vildanova; F. Kh. Mukminov. Existence of weak solution of the aggregation integro-differential equation. Contemporary Mathematics. Fundamental Directions, Differential and functional differential equations, Tome 63 (2017) no. 4, pp. 557-572. http://geodesic.mathdoc.fr/item/CMFD_2017_63_4_a1/