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4 papers
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…
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…
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(…
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…