L² DECAY FOR WEAK SOLUTIONS TO NONLINEAR PARABOLIC EQUATION

In this article, we investigate the decay rate for solutions to nonlinear parabolic equation in RN(N ≥ 3). With the help of the classical Fourier splitting method, we prove that decay rate is t−^N/4 in L² norm. It happened that the estimate for the decay rate is in accordance with that of the solution of the linear heat conduction equation.