1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.OC2025★ 1 cited
A bang-bang optimal control for a nonlinear system modeling the Gate Control Theory of Pain
Gregorio Diaz, Jesus Ildefonso Diaz
We consider a nonlinear system of coupled ordinary differential equations (representing the excitatory, inhibitory, and T-cell potentials) based on the Gate Control Theory of Pain,…
math.AP2022★ 1 cited
Large solutions of elliptic semilinear equations non-degenerate near the boundary
Gregorio Diaz
In this paper we study the so-called large solutions of elliptic semilinear equations with non null sources term, thus solutions blowing up on the boundary of the domain for which…
math.AP2022
Controlled boundary explosions: dynamics after blow-up for some semilinear problems with global controls
A. C. Casal, G. Díaz, J. I. Díaz +1
The main goal of this paper is to show that the blow up phenomenon (the explosion of the $ \rL^{\infty }$-norm) of the solutions of several classes of evolution problems can be con…