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20202022
most citedThe move from Fujita to Kato type exponent for a class of semilinear evolution equations with time-dependent damping

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math.AP2022

Structurally damped evolution equations with power-law memory

Nelson Faustino, Jorge Marques

We consider an integro-differential counterpart of the evolution equation of the type \[ \partial_t^2 u(t,x)+μ(-Δ)^{\fracσ{2}} \partial_t u(t,x)+(-Δ)^σu(t,x)=f(t,x), \] with $σ…