带有非局部源和吸收项的P-Laplacian方程解的熄灭

Extinction of Solutions for the P-Laplacian Equation with Nonlocal Source and Absorption Item

研究了方程ut-div(︱▽u︱p-2▽u)=λ∫Ωuq(x,t)dx-βur解的熄灭,当r=1时,熄灭临界指数是p-1=q,用Lp-积分范数估计方法考虑当r<1且p-1=q时解的熄灭情况,得到了解熄灭的充分条件和衰减估计.

In this paper,the extinction of solutions for u, - div（ ｜△u ｜P-2△u） = Afauq（x,t）dx -u is studied, when r = 1, it is known that the critical extinction exponent is p - 1 = q ; for r 〈 1 and p - 1 = q, the extinction of solutions are studied by using Lp - integral norm estimate method, and sufficient conditions about the extinction and decay estimates of solutions are obtained.