Browsing NTNU Open by Author "del Teso, Félix"
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Evolution driven by the infinity fractional Laplacian
del Teso, Félix; Endal, Jørgen; Jakobsen, Espen Robstad; Vázquez, Juan Luis (Peer reviewed; Journal article, 2023)We consider the evolution problem associated to the infinity fractional Laplacian introduced by Bjorland et al. (Adv Math 230(4–6):1859–1894, 2012) as the infinitesimal generator of a non-Brownian tug-of-war game. We first ... -
The Liouville theorem and linear operators satisfying the maximum principle.
Alibaud, Nathael; del Teso, Félix; Endal, Jørgen; Jakobsen, Espen Robstad (Peer reviewed; Journal article, 2020)A result by Courrège says that linear translation invariant operators satisfy the maximum principle if and only if they are of the form L = Lσ,b + Lμ where Lσ,b[u](x) = tr(σσTD2u(x)) + b · Du(x) and Lμ[u](x) = Rd\{0} u(x ... -
The Liouville theorem and linear operators satisfying the maximum principle.
Alibaud, Nathael; del Teso, Félix; Endal, Jørgen; Jakobsen, Espen Robstad (Peer reviewed; Journal article, 2020)A result by Courrège says that linear translation invariant operators satisfy the maximum principle if and only if they are of the form L = Lσ,b + Lμ where Lσ,b[u](x) = tr(σσTD2u(x)) + b · Du(x) and Lμ[u](x) ... -
On the two-phase fractional Stefan problem
Endal, Jørgen; del Teso, Félix; Vázquez, Juan Luis (Journal article; Peer reviewed, 2020) -
On the well-posedness of solutions with finite energy for nonlocal equations of porous medium type
del Teso, Félix; Endal, Jørgen; Jakobsen, Espen Robstad (Chapter, 2018)We study well-posedness and equivalence of different notions of solutions with finite energy for nonlocal porous medium type equations of the form ∂tu − Aϕ(u) = 0. These equations are possibly degenerate nonlinear diffusion ... -
Robust numerical methods for nonlocal (and local) equations of porous medium type. Part II: Schemes and experiments
del Teso, Félix; Endal, Jørgen; Jakobsen, Espen Robstad (Journal article; Peer reviewed, 2018)We develop a unified and easy to use framework to study robust fully discrete numerical methods for nonlinear degenerate diffusion equations $\partial_t u-\mathfrak{L}[\varphi(u)]=f(x,t)$ in $\mathbb{R}^N\times(0,T),$ where ... -
Uniform tail estimates and Lp(RN)-convergence for finite-difference approximations of nonlinear diffusion equations
del Teso, Félix; Endal, Jørgen; Jakobsen, Espen Robstad (Journal article; Peer reviewed, 2022) -
Uniqueness and properties of distributional solutions of nonlocal equations of porous medium type
del Teso, Félix; Endal, Jørgen; Jakobsen, Espen Robstad (Journal article; Peer reviewed, 2017)We study the uniqueness, existence, and properties of bounded distributional solutions of the initial value problem for the anomalous diffusion equation ∂tu−Lμ[φ(u)]=0. Here Lμ can be any nonlocal symmetric degenerate ...