Self-similar asymptotic profile of the solution to a nonlinear evolution equation with critical dissipation
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DOI: 10.1002/mma.4469
Abstract: In this paper, we obtain optimal decay estimates for the solutions to an evolution equation with critical, structural, dissipation, and absorbing power nonlinearity: utt+Δ2θu+2μ(−Δ)θut+|ut|p−1ut=0,t≥0,x∈Rn, with μ>0, θ is a positive integer, and p>1+4θ/n, in space dimension n∈(2θ,4θ). We… read more here.
Keywords: self similar; equation critical; similar asymptotic; asymptotic profile ... See more keywords