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Research Article Open Access

Finite-Time Blow-up of Parabolic PDE with Singular Coefficients, Method of the Fundamental Solutions


 This article is dedicated to the nonlinear second-order partial differential equations of parabolic type with  - perturbation, we establish conditions on the nonlinear perturbation of the parabolic operator under which the solutions of initial value problems do not exist for all time, that is the solutions blow up.

Yaremenko Mykola Ivanovich

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