12 citations · 14 across the 6 of their papers we have counts for
7 papers
Stochastic diffusive energy balance climate model with a multiplicative noise modeling the Solar variability
Gregorio Díaz, Jesús Ildefonso Díaz
We prove the existence, uniqueness, and comparison of solutions for a nonlinear stochastic parabolic partial differential equation that includes the Solar variability in terms of a…
Beyond the classical strong maximum principle: forcing changing sign near the boundary and flat solutions
Jesús Ildefonso Díaz, Jesús Hernández
We show that the classical strong maximum principle, concerning positive supersolutions of linear elliptic equations vanishing on the boundary of the domain can be extended, un…
Failure of the Hopf-Oleinik lemma for a linear elliptic problem with singular convection of non-negative divergence
Lucio Boccardo, David Gómez-Castro, Jesús Ildefonso Díaz
In this paper we study existence, uniqueness, and integrability of solutions to the Dirichlet problem in a bounded dom…
Finite time extinction for a critically damped Schr{ö}dinger equation with a sublinear nonlinearity
Pascal Bégout, Jesús Ildefonso Díaz
This paper completes some previous studies by several authors on the finite time extinction for nonlinear Schr{ö}dinger equation when the nonlinear damping term corresponds to the…
Stochastic energy balance climate models with Legendre weighted diffusion and a cylindrical Wiener process forcing
Gregorio Díaz, Jesús Ildefonso Díaz
We consider a class of one-dimensional nonlinear stochastic parabolic problems associated with Sellers and Budyko diffusive energy balance climate models with a Legendre weighted d…
On the well-posedness of a multiscale mathematical model for Lithium-ion batteries
Jesús Ildefonso Díaz, David Gómez-Castro, Angel Manuel Ramos
We consider the mathematical treatment of a system of nonlinear partial differential equations based on a model, proposed in 1972 by J. Newman, in which the coupling between the Li…
A sharper energy method for the localization of the support to some stationary Schr{ö}dinger equations with a singular nonlinearity
Pascal Bégout, Jesús Ildefonso Díaz
We prove the compactness of the support of the solution of some stationary Schr{ö}dinger equations with a singular nonlinear order term. We present here a sharper version of some e…