Abstrato

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

Yaremenko Mykola Ivanovich

 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.