activity
20192024
most citedSharp Strichartz estimates for the Schrödinger equation on the sphere

1 citations · 2 across the 3 of their papers we have counts for

collaborators

5 papers

math.PR2024

Profile cut-off phenomenon for the ergodic Feller root process

Gerardo Barrera, Liliana Esquivel

The present manuscript is devoted to the study of the convergence to equilibrium as the noise intensity tends to zero for ergodic random systems out of equilibrium…

math.AP2021

On the Benjamin Ono equation in the half line

Duván Cardona, Liliana Esquivel

We consider the inhomogeneous Dirichlet initial boundary value problem for the Benjamin-Ono equation formulated on the half line. We study the global in time existence of solutions…

math.AP2020★ 1 cited

Sharp Strichartz estimates for the Schrödinger equation on the sphere

Duván Cardona, Liliana Esquivel

In this contribution we investigate the Schrördinger equation associated to the Laplacian on the sphere in the form of sharp Strichartz estimates. We will provided simple proofs fo…

math.AP2020

Sharp well-posedness for a coupled system of mKdV type equations

Xavier Carvajal, Liliana Esquivel, Raphael Santos

We consider the initial value problem associated to a system consisting modified Korteweg-de Vries type equations $$ \partial_tv + \partial_x^3v + \partial_x(vw^2) =0,\ \ v(x,0)=ϕ(…

math.AP2019★ 1 cited

Inhomogeneous Mixed-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques

Liliana Esquivel, Elena Kaikina, Nakao Hayashi

We consider the inhomogeneous Mixed-boundary value problem for the cubic nonlinear Schrödinger equations on the half line. We present sufficient conditions of initial and boundary…