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- W2019830876 abstract "We study the geometric behavior for large times of the solutions of the following equationut+γ|ut|=Δu,0<|γ|<1, posed in the whole space RN, for N⩾1 when the initial data are nonnegative, continuous and compactly supported. We prove that, after a finite time, log(u) becomes a concave function in the space variable and converges to all orders of differentiability to a certain parabolic shape, so-called Barenblatt-type profile, which was described in Kamin et al. (1991) [20]. Extensions to more general fully nonlinear equations are considered." @default.
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- W2019830876 date "2012-04-01" @default.
- W2019830876 modified "2023-09-26" @default.
- W2019830876 title "Large-time geometrical properties of solutions of the Barenblatt equation of elasto-plastic filtration" @default.
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- W2019830876 doi "https://doi.org/10.1016/j.jde.2011.12.010" @default.
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