Open AccessExistence of Weak Solution of the Aggregation Integro-Differential Equation
Author(s) -
Венера Фидарисовна Вильданова,
F. Kh. Mukminov
Publication year - 2017
Publication title -
sovremennaâ matematika. fundamentalʹnye napravleniâ
Language(s) - English
Resource type - Journals
eISSN - 2949-0618
pISSN - 2413-3639
DOI - 10.22363/2413-3639-2017-63-4-557-572
Subject(s) - mathematics , discretization , bounded function , variable (mathematics) , mathematical analysis , work (physics) , anisotropy , nonlinear system , weak solution , cylinder , geometry , physics , thermodynamics , quantum mechanics
In this work, we investigate the mixed problem for anisotropic integro-dierential 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.