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20172026
most citedOn a class of solutions to the generalized KdV type equation

18 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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math.AP2018★ 18 cited

On a class of solutions to the generalized KdV type equation

Felipe Linares, Hayato Miyazaki, Gustavo Ponce

We consider the IVP associated to the generalized KdV equation with low degree of non-linearity \begin{equation*} \partial_t u + \partial_x^3 u \pm |u|^α\partial_x u = 0,\; x,t \in…

math.AP2017★ 12 cited

Long range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity in three space dimensions

Satoshi Masaki, Hayato Miyazaki, Kota Uriya

In this paper, we consider the final state problem for the nonlinear Schrödinger equation with a homogeneous nonlinearity of the critical order which is not necessarily a polynomia…