In this paper, we obtain optimal decay estimates for the solutions to an evolution equation with critical, structural, dissipation, and absorbing power nonlinearity. We use these estimates to find the self-similar asymptotic profile of the solutions.
Self-similar asymptotic profile of the solution to a nonlinear evolution equation with critical dissipation
D'Abbicco, M.;Lucente, S.
2017-01-01
Abstract
In this paper, we obtain optimal decay estimates for the solutions to an evolution equation with critical, structural, dissipation, and absorbing power nonlinearity. We use these estimates to find the self-similar asymptotic profile of the solutions.File in questo prodotto:
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