Esquivel L. A Riemann-Hilbert approach to the Fractional NSL equation on a half-line with boundary noise. In preparation

Esquivel L. The initial-boundary value problem for the Kaup-Kupersmidt equation. In preparation.

Barrera G. , Esquivel L. Profile cut-off phenomenon in the total variation metric and a renormalized Wasserstein metric for the CIR process. In preparation

Esquivel L, Rivas I.  KdV-Burger equation in the negative half-plane. In preparation.

Esquivel L, Rivas I. On the Benjamin Ono equation in the half line with Neumann boundary condition. Submitted

Esquivel L, Lopez J. C. The non-homogeneous Boundary-Value Problems for the 1D- NLS equation with lineal boundary condition. To appear in São Paulo Journal of Mathematical Sciences.

Cardona, D; Esquivel L, On the Benjamin Ono equation in the half line. Nonlinear Analysis 2021.

Carvajal, Xavier; Esquivel, Liliana; Santos, Raphael; On local well-posedness and ill-posedness results for a coupled system of MKDV type equations. Discrete Contin. Dyn. Syst. 41 (2021), no. 6, 2699–2723. 35Q53 (35A01 35M31)

 Sánchez, Duván Cardona; Esquivel, Liliana Sharp Strichartz estimates for the Schrödinger equation on the sphere. J. Pseudo-Differ. Oper. Appl. 12 (2021), no. 1, Paper No. 23, 14 pp. 35Q40 (35K15 42B35 42C10)

Carvajal, X.; Esquivel, L. Well-posedness for a perturbation of the KdV equation. Nonlinear Differ. Equ. Appl. (2019) 26: 47.

Esquivel, Liliana; Hayashi, Nakao; Kaikina, Elena I. Inhomogeneous Neumann-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques. J. Math. Phys. 60 (2019), no. 9, 091507, 29 pp. 35Q55 (81Q80)

Esquivel, Liliana; Hayashi, Nakao; Kaikina, Elena I. Inhomogeneous Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques. J. Differential Equations 266 (2019), no. 2-3, 1121–1152. (Reviewer: Noel F. Smyth)

Esquivel, L.; Kaikina, E. Robin initial-boundary value problem for nonlinear Schrodinger equation with potential. J. Evol. Equ. 18 (2018), no. 2, 583–613. 35Q55 (35A01 35B40)

Esquivel, Liliana Asymptotic behavior for Dirichlet problems of nonlinear Schrödinger equations with Landau damping on a half line. Electron. J. Differential Equations 2017, Paper No. 157, 16 pp. 35Q55 (35B40 35R11)

Esquivel, L.; Kaikina, Elena I. A forced fractional Schrödinger equation with a Neumann boundary condition. Nonlinearity 29 (2016), no. 7, 2082–2111. 35Q55

Esquivel, L.; Kaikina, E. Neumann problem for nonlinear Schrödinger equation with the Riesz fractional derivative operator. J. Differential Equations 260 (2016), no. 7, 5645–5677. (Reviewer: Eduardo Colorado) 

Esquivel, Liliana Nonlinear Schrödinger equation with Landau damping on a half-line. Differ. Equ. Appl. 7 (2015), no. 2, 221–244. 35Q55 

Esquivel, Liliana; López, Juan Carlos Existence of local solutions for a Kaup-Kupershmidt equation. (Spanish) Papers of the Mexican Mathematical Society (Spanish), 97–115, Aportaciones Mat. Comun., 45, Soc. Mat. Mexicana, México, 2012. 35Q53