Extinction and decay estimates of solutions for a class of doubly degenerate equations

In this paper, we study the extinction and decay estimates under suitable LpLp-integral norm of solutions to the initial–boundary value problem for the fast diffusion doubly degenerate equation ut=div(∣∇um∣p−2∇um)+λ∣u∣q−1u−βu, where (x,t)∈Ω×(0,+∞)(x,t)∈Ω×(0,+∞),10λ>0, β>0β>0, and Ω⊂RNΩ⊂RN is a bounded domain with smooth boundary.