7 citations · 7 across the 4 of their papers we have counts for
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Evolution of the radius of analyticity for mKdV-type equations
Renata O. Figueira, Mahendra Panthee
In this paper, we obtain new lower bounds for the evolution of the radius of analyticity of solutions to two initial value problems (IVPs) with initial data belonging to the class…
Improved lower bound for the radius of analyticity for the modified KdV equation
Renata O. Figueira, Mahendra Panthee
We investigate the initial value problem (IVP) associated to the modified Korteweg-de Vries equation (mKdV) in the defocusing scenario: \begin{equation*} \left\{\begin{array}{l} \p…
Decay of the radius of spatial analyticity for the modified KdV equation and the nonlinear Schrödinger equation with third order dispersion
Renata O. Figueira, Mahendra Panthee
We consider the initial value problems (IVPs) for the modified Korteweg-de Vries (mKdV) equation \begin{equation*} \label{mKdV} \left\{\begin{array}{l} \partial_t u+ \partial_x^3u+…
Evolution of the radius of analyticity for the generalized Benjamin equation
Renata O. Figueira, Mahendra Panthee
In this work we consider the initial value problem for the generalized Benjamin equation \begin{equation}\label{Benj-IVP} \begin{cases} \partial_t u-l\mathcal{H} \partial_x^2u-\par…