Finite-time Behaviour of Solutions to Nonlinear Parabolic Equation

In this paper we consider nonlinear parabolic equation with power type nonlinearity which such types of problems occur in many mathematical models of applied science. We show that there are solutions under some conditions on initial data which blow up in finite time with positive initial energy. In this paper we consider nonlinear parabolic equation with power type nonlinearity which such types of problems occur in many mathematical models of applied science. We show that there are solutions under some conditions on initial data which blow up in finite time with positive initial energy.