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Asymptotic behavior for a nonlocal diffusion equation with absorption and nonintegrable initial data. The supercritical case
In this paper we study the asymptotic behavior as time goes to infinity of the solution to a nonlocal diffusion equation with absorption modeled by a powerlike reaction $-u^p$, $p>1$ and set in $\mathbb {R}^N$. We consider a bounded, nonnegative initial datum $u_0$ that behaves like a negative power at …