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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(…