22 citations · 46 across the 17 of their papers we have counts for
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Optimal stability results and nonlinear duality for entropy and viscosity solutions
Nathaël Alibaud, Jørgen Endal, Espen Robstad Jakobsen
We give a new and rigorous duality relation between two central notions of weak solutions of nonlinear PDEs: entropy and viscosity solutions. It takes the form of the nonlinear dua…
Characterization of nonlocal diffusion operators satisfying the Liouville theorem. Irrational numbers and subgroups of
Nathaël Alibaud, Félix del Teso, Jørgen Endal +1
We investigate the characterization of generators of Lévy processes satisfying the Liouville theorem: Bounded functions solving are constant. T…
Robust numerical methods for nonlocal (and local) equations of porous medium type. Part II: Schemes and experiments
Félix del Teso, Jørgen Endal, Espen R. Jakobsen
We develop unified and easy to use framework to study robust fully discrete numerical methods for nonlinear degenerate diffusion equations $$ \partial_t u-\mathfrak{L}[φ(u)]=f(x,t)…
Robust numerical methods for nonlocal (and local) equations of porous medium type. Part I: Theory
Félix del Teso, Jørgen Endal, Espen R. Jakobsen
We develop a unified and easy to use framework to study robust fully discrete numerical methods for nonlinear degenerate diffusion equations $$ \partial_t u-\mathfrak{L}^{σ,μ}[φ(u)…