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- W3139469719 abstract "<abstract> In this paper, we are concerned with the existence, uniqueness and long-time behavior of the solutions for a parabolic equation with nonlocal diffusion even if the reaction term is not Lipschitz-continuous at $ 0 $ and grows superlinearly or exponentially at $ +infty $. First, we give a special sub-supersolution pair for some parabolic equations with nonlocal diffusion and establish the method of sub-supersolution. Second, using the sub-supersolution method, we prove the existence, uniqueness and long-time behavior of positive solutions. Finally, some one-dimensional numerical experiments are presented. </abstract>" @default.
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- W3139469719 date "2021-01-01" @default.
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- W3139469719 title "Existence and global behavior of the solution to a parabolic equation with nonlocal diffusion" @default.
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- W3139469719 doi "https://doi.org/10.3934/math.2021313" @default.
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