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2021
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In this paper, the following nonlinear generalized pseudoparabolic equation with variable exponents and coefficients is considered: ut−div(α(x,t)|∇u|σ(x)−2∇ut+β(x,t)|∇u|p(x)−2∇u)=γ(x,t)|u|m(x)−2u.Under suitable assumptions on the specified initial data and the variable exponents q, p, m, and the coefficients α,β,γ, the finite-time blow-up and large time behavior (exponential and power decay) of the weak solutions are established.