17 citations · 17 across the 2 of their papers we have counts for
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A nonlocal memory strange term arising in the critical scale homogenisation of a diffusion equation with a dynamic boundary condition
Jesús Ildefonso Díaz, David Gómez-Castro, Tatiana A. Shaposhnikova +1
Our main interest in this paper is the study of homogenised limit of a parabolic equation with a nonlinear dynamic boundary condition of the micro-scale model set on a domain with…
Some remarks on the coincidence set for the Signorini problem
Miguel de Benito Delgado, Jesús Ildefonso Díaz
We study some properties of the coincidence set for the boundary Signorini problem, improving some results from previous works by the second author and collaborators. Among other n…
On the exact number of monotone solutions of a simplifed Budyko climate model and their different stability
Sabri Bensid, Jesús Ildefonso Díaz
We consider a simplified version of the Budyko diffusive energy balance climate model. We obtain the exact number of monotone stationary solutions of the associated discontinuous n…
Linear diffusion with singular absorption potential and/or unbounded convective flow: the weighted space approach
Jesús Ildefonso Díaz, David Gómez-Castro, Jean-Michel Rakotoson +1
In this paper we prove the existence and uniqueness of very weak solutions to linear diffusion equations involving a singular absorption potential and/or an unbounded convective fl…
Existence and uniqueness of solutions of Schrödinger type stationary equations with very singular potentials without prescribing boundary conditions and some applications
Jesús Ildefonso Díaz, David Gómez-Castro, Jean-Michel Rakotoson
Motivated mainly by the localization over an open bounded set of of solutions of the Schrödinger equations, we consider the Schrödinger equation over with a v…