题目：Global existence and blow-up phenomena for a divergence form parabolic equation with time-dependent coefficient in multi-dimensional space
报告人：FUSHAN LI (QUFU NORMAL UNIVERSITY)
摘要：In this paper, we consider a nonlinear divergence form parabolic equation with time-dependent coefficient and inhomogeneous Neumann boundary condition. We establish the new sufficient conditions on nonlinear functions to guarantee that the positive solution u(x; t) exists globally. Under the conditions to guarantee that the positive solution blows up, by establishing the Soblev inequality in multi- dimensional space and constructing the unified functionals, we obtain the upper and lower bounds of the blow-up time t*.