22 citations · 46 across the 17 of their papers we have counts for
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Evolution Driven by the Infinity Fractional Laplacian
Félix del Teso, Jørgen Endal, Espen R. Jakobsen +1
We consider the evolution problem associated to the infinity fractional Laplacian introduced by Bjorland, Caffarelli and Figalli (2012) as the infinitesimal generator of a non-Brow…
Large-time behaviour for anisotropic stable nonlocal diffusion problems with convection
Jørgen Endal, Liviu I. Ignat, Fernando Quirós
We study the large-time behaviour of nonnegative solutions to the Cauchy problem for a nonlocal heat equation with a nonlinear convection term. The diffusion operator is the infini…
Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities
Matteo Bonforte, Jørgen Endal
We establish boundedness estimates for solutions of generalized porous medium equations of the form $$ \partial_t u+(-\mathfrak{L})[u^m]=0\quad\quad\text{in $\mathbb{R}^N\times(0,T…
Uniform tail estimates and -convergence for finite-difference approximations of nonlinear diffusion equations
Félix del Teso, Jørgen Endal, Espen R. Jakobsen
We obtain new equitightness and -convergence results for finite-difference approximations of generalized porous medium equations of the form $$ \partial…