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03/09/2023
A convergent finite difference-quadrature scheme for the porous medium equation with nonlocal pressure
We introduce and analyze a numerical approximation of the porous medium ...
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03/04/2023
Higher-order asymptotic expansions and finite difference schemes for the fractional p-Laplacian
We propose a new asymptotic expansion for the fractional p-Laplacian wit...
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05/26/2022
Finite difference schemes for the parabolic p-Laplace equation
We propose a new finite difference scheme for the degenerate parabolic e...
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02/04/2022
Uniform tail estimates and L^p(ℝ^N)-convergence for finite-difference approximations of nonlinear diffusion equations
We obtain new equitightness and C([0,T];L^p(ℝ^N))-convergence results fo...
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03/11/2021
A finite difference method for the variational p-Laplacian
We propose a new monotone finite difference discretization for the varia...
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10/14/2020
Three representations of the fractional p-Laplacian: semigroup, extension and Balakrishnan formulas
We introduce three representation formulas for the fractional p-Laplace ...
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04/25/2020
Estimates on translations and Taylor expansions in fractional Sobolev spaces
In this paper we study how the (normalised) Gagliardo semi-norms [u]_W^s...
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02/04/2020
On the two-phase fractional Stefan problem
The classical Stefan problem is one of the most studied free boundary pr...
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11/30/2019