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math.AP2018★ 1 cited
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…
math.AP2018
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…