4 papers
On the two-phase fractional Stefan problem
Félix del Teso, Jørgen Endal, Juan Luis Vázquez
The classical Stefan problem is one of the most studied free boundary problems of evolution type. Recently, there has been interest in treating the corresponding free boundary prob…
The Liouville theorem and linear operators satisfying the maximum principle
Nathaël Alibaud, Félix del Teso, Jørgen Endal +1
A result by Courrège says that linear translation invariant operators satisfy the maximum principle if and only if they are of the form $\mathcal{L}=\mathcal{L}^{σ,b}+\mathcal{L}^μ…
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…
On distributional solutions of local and nonlocal problems of porous medium type
Félix del Teso, Jørgen Endal, Espen R. Jakobsen
We present a theory of well-posedness and a priori estimates for bounded distributional (or very weak) solutions of $$\partial_tu-\mathfrak{L}^{σ,μ}[φ(u)]=g(x,t)\quad\quad\text{in}…