Zobrazeno 1 - 10
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pro vyhledávání: '"Díaz, Jesús"'
We pass to the limit in the homogenization of an optimal control problem associated with a parabolic equation with a dynamic boundary condition. New unexpected terms appear due to the critical scale.
Externí odkaz:
http://arxiv.org/abs/2406.18712
Autor:
Bégout, Pascal, Díaz, Jesús Ildefonso
Publikováno v:
Journal of Mathematical Analysis and Applications, 2024, 538 (1), pp.128329
We consider the damped nonlinear Schr\''{o}dinger equation with saturation: i.e., the complex evolution equation contains in its left hand side, besides the potential term $V(x)u,$ a nonlinear term of the form $\mathrm{i}\mu u(t,x)/|u(t,x)|$ for a gi
Externí odkaz:
http://arxiv.org/abs/2404.06811
Urban mobility in developing countries, particularly in cities like Cali, Colombia, faces multifaceted challenges influenced by socioeconomic factors and the distinct characteristics of transport users Despite motorcycles emerging as a prevalent mode
Externí odkaz:
http://arxiv.org/abs/2402.07958
Given a graph $G$, the optimization version of the graph burning problem seeks for a sequence of vertices, $(u_1,u_2,...,u_k) \in V(G)^k$, with minimum $k$ and such that every $v \in V(G)$ has distance at most $k-i$ to some vertex $u_i$. The length $
Externí odkaz:
http://arxiv.org/abs/2401.07577
We show that the classical strong maximum principle, concerning positive supersolutions of linear elliptic equations vanishing on the boundary of the domain $\Omega $ can be extended, under suitable conditions, to the case in which the forcing term $
Externí odkaz:
http://arxiv.org/abs/2308.02626
Autor:
Micolta, Marbely, Calvet, Nuria, Thanathibodee, Thanawuth, C., Gladis Magris, Colmenares, María José, Díaz, Jesús V., Alzate-Trujillo, Jairo
We present a study of the Ca II K and IR-triplet lines in a sample of Classical T Tauri stars in the Chamaeleon I star-forming region. We study X-shooter spectra of the stars in the sample and find that in some of these stars the Ca II lines are much
Externí odkaz:
http://arxiv.org/abs/2306.10643
In this paper we study existence, uniqueness, and integrability of solutions to the Dirichlet problem $-\mathrm{div}( M(x) \nabla u ) = -\mathrm{div} (E(x) u) + f$ in a bounded domain of $\mathbb R^N$ with $N \ge 3$. We are particularly interested in
Externí odkaz:
http://arxiv.org/abs/2211.10122
Autor:
Bégout, Pascal, Díaz, Jesús Ildefonso
Publikováno v:
Advances in Differential Equations, 2023, 28 (3-4), pp.311-340
This paper completes some previous studies by several authors on the finite time extinction for nonlinear Schr{\"o}dinger equation when the nonlinear damping term corresponds to the limit cases of some ``saturating non-Kerr law'' $F(|u|^2)u=\frac{a}{
Externí odkaz:
http://arxiv.org/abs/2210.04493