Submitted / Under Review

2026 – Romero-Leiton, J. P.; Rodríguez, Y.; Bastidas-Caldes, C.; Esquivel, L. A continuum of bacterial coexistence equilibrium states sustains mcr-mediated colistin resistance at the human-animal interface. Submitted.

2026 – Carreño Díaz, J.; Esquivel, L.; Kaikina, E. Stochastic fractional complex Ginzburg–Landau equation on the hyperoctant with interior and boundary fractional noise. Submitted.

2026 – Esquivel, L.; Quintero, J. R. The Kaup–Kupershmidt equation on the right and left half-line. Submitted.

Publications 

1. 2026 – Rivas, I.; Esquivel, L. L² Well-posedness and Bounded controllability for the Korteweg–de Vries–Burgers equation in a half-plane. Mathematical Control and Related Fields, 0–0.

2. 2026 – Esquivel, L.; Quintero, J. R. On the existence of solitary wave solutions for a fifth-order Kaup–Kupershmidt–KdV type equation. Dynamics of Partial Differential Equations 23 (2), 103–118.

3. 2025 – Rivas, I.; Esquivel, L. L² Well-posedness and Bounded Controllability of KdV-B equation. arXiv preprint arXiv:2502.06457.

4. 2025 – Esquivel, L.; Rivas, I. A Riemann–Hilbert approach to existence results for the Benjamin–Ono equation on a half-line. Nonlinear Analysis: Real World Applications 81, 104211.

5. 2025 – Barrera, G.; Esquivel, L. Profile cut-off phenomenon for the ergodic Feller root process. Stochastic Processes and their Applications 183, 104587.

6. 2024- Esquivel, L.; López, J. C. The non-homogeneous boundary value problem for the 1D NLS equation with linear boundary condition 

7. 2021 – Carvajal, X.; Esquivel, L.; Santos, R. On local well-posedness and ill-posedness results for a coupled system of mKdV-type equations. Discrete and Continuous Dynamical Systems 41 (6), 2699–2723.

8. 2021 – Sánchez, D. C.; Esquivel, L. Sharp Strichartz estimates for the Schrödinger equation on the sphere. Journal of Pseudo-Differential Operators and Applications 12 (1), Paper No. 23, 14 pp.

9. 2021 – Cardona, D.; Esquivel, L. On the Benjamin–Ono equation on the half-line. Nonlinear Analysis.

10. 2019 – Esquivel, L.; Hayashi, N.; Kaikina, E. I. Inhomogeneous Neumann boundary value problem for one-dimensional nonlinear Schrödinger equations via factorization techniques. Journal of Mathematical Physics 60 (9), 091507, 29 pp.

11. 2019 – Esquivel, L.; Hayashi, N.; Kaikina, E. I. Inhomogeneous Dirichlet boundary value problem for one-dimensional nonlinear Schrödinger equations via factorization techniques. Journal of Differential Equations 266 (2–3), 1121–1152.

12. 2019 – Carvajal, X.; Esquivel, L. Well-posedness for a perturbation of the KdV equation. Nonlinear Differential Equations and Applications 26: 47.

13. 2018 – Esquivel, L.; Kaikina, E. Robin initial-boundary value problem for nonlinear Schrödinger equation with potential. Journal of Evolution Equations 18 (2), 583–613.

14. 2017 – Esquivel, L. Asymptotic behavior for Dirichlet problems of nonlinear Schrödinger equations with Landau damping on a half-line. Electronic Journal of Differential Equations, Paper No. 157, 16 pp.

15. 2016 – Esquivel, L.; Kaikina, E. I. Neumann problem for nonlinear Schrödinger equation with the Riesz fractional derivative operator. Journal of Differential Equations 260 (7), 5645–5677.

16. 2016 – Esquivel, L.; Kaikina, E. I. A forced fractional Schrödinger equation with a Neumann boundary condition. Nonlinearity 29 (7), 2082–2111.

17. 2015 – Esquivel, L. Nonlinear Schrödinger equation with Landau damping on a half-line. Differential Equations and Applications 7 (2), 221–244.

18. 2012 – Esquivel, L.; López, J. C. Existence of local solutions for a Kaup–Kupershmidt equation. In: Papers of the Mexican Mathematical Society, Aportaciones Matemáticas Comunicaciones 45, 97–115.