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- W2950591570 abstract "In this paper we obtain bounds for the decay rate for solutions to the nonlocal problem $partial_t u(t,x) = int_{R^n} J(x,y)[u(t,y) - u(t,x)] dy$. Here we deal with bounded kernels $J$ but with polynomial tails, that is, we assume a lower bound of the form $J(x,y) geq c_1|x-y|^{-(n + 2sigma)}$, for $|x - y| > c_2$. Our estimates takes the form $|u(t)|_{L^q(R^n)} leq C t^{-frac{n}{2sigma} (1 - frac{1}{q})}$ for $t$ large." @default.
- W2950591570 created "2019-06-27" @default.
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- W2950591570 date "2013-07-12" @default.
- W2950591570 modified "2023-09-25" @default.
- W2950591570 title "Fractional decay bounds for nonlocal zero order heat equations" @default.
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