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• W2026667565 startingPage "242" @default.
• W2026667565 abstract "We establish quantitative estimates for solutions u(t,x) to the fractional nonlinear diffusion equation, ∂tu+(−Δ)s(um)=0 in the whole range of exponents m>0, 0<s<1. The equation is posed in the whole space x∈Rd. We first obtain weighted global integral estimates that allow to establish existence of solutions for classes of large data. In the core of the paper we obtain quantitative pointwise lower estimates of the positivity of the solutions, depending only on the norm of the initial data in a certain ball. The estimates take a different form in three exponent ranges: slow diffusion, good range of fast diffusion, and very fast diffusion. Finally, we show existence and uniqueness of initial traces." @default.
• W2026667565 created "2016-06-24" @default.
• W2026667565 creator A5028901813 @default.
• W2026667565 creator A5057413750 @default.
• W2026667565 date "2014-01-01" @default.
• W2026667565 modified "2023-10-01" @default.
• W2026667565 title "Quantitative local and global a priori estimates for fractional nonlinear diffusion equations" @default.
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• W2026667565 doi "https://doi.org/10.1016/j.aim.2013.09.018" @default.
• W2026667565 hasPublicationYear "2014" @default.
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