30 citations · 36 across the 10 of their papers we have counts for
12 papers
A Viscosity Framework for Dynamic Programming Principles and Applications
Félix del Teso, Julio D. Rossi, Jorge Ruiz-Cases
In this work we introduce a viscosity-based notion of solution for general approximation schemes associated with partial differential equations, such as dynamic programming princip…
Finite Elements with weighted bases for the fractional Laplacian
Félix del Teso, Stefano Fronzoni, David Gómez-Castro
This work presents a numerical study of the Dirichlet problem for the fractional Laplacian with using Finite Element methods with non-standard bases. Classical…
The Fujita exponent for finite difference approximations of nonlocal and local semilinear blow-up problems
Félix del Teso, Raúl Ferreira
We study monotone finite difference approximations for a broad class of reaction-diffusion problems, incorporating general symmetric Lévy operators. By employing an adaptive time-s…
Numerical methods and regularity properties for viscosity solutions of nonlocal in space and time diffusion equations
Félix del Teso, Łukasz Płociniczak
We consider a general family of nonlocal in space and time diffusion equations with space-time dependent diffusivity and prove convergence of finite difference schemes in the conte…
A finite difference method for the variational -Laplacian
Félix del Teso, Erik Lindgren
We propose a new monotone finite difference discretization for the variational -Laplace operator, \[ Δ_p u=\text{div}(|\nabla u|^{p-2}\nabla u), \] and present a convergent nume…
Three representations of the fractional -Laplacian: semigroup, extension and Balakrishnan formulas
Félix del Teso, David Gómez-Castro, Juan Luis Vázquez
We introduce three representation formulas for the fractional -Laplace operator in the whole range of parameters and . Note that for this a nonlinea…
A mean value formula for the variational -Laplacian
Félix del Teso, Erik Lindgren
We prove a new asymptotic mean value formula for the -Laplace operator, valid in the viscosity sense. In the plane, and for a c…
Numerical approximations for fractional elliptic equations via the method of semigroups
Nicole Cusimano, Félix del Teso, Luca Gerardo-Giorda
We provide a novel approach to the numerical solution of the family of nonlocal elliptic equations in , subject to some homogeneous boundary conditions $\mathcal{B}(…
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…
Porous medium equation with nonlocal pressure
Diana Stan, Félix del Teso, Juan Luis Vázquez
We provide a rather complete description of the results obtained so far on the nonlinear diffusion equation , which describes a flow thr…
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}…
Finite and infinite speed of propagation for porous medium equations with nonlocal pressure
Diana Stan, Félix del Teso, Juan Luis Vázquez
We study a porous medium equation with fractional potential pressure: for , and .…