22 citations · 55 across the 25 of their papers we have counts for
4 papers · 1 filter
Well-posedeness for the non-isotropic Schrödinger equations on cylinders and periodic domains
Adán J. Corcho. Marcelo Nogueira, Mahendra Panthee
The initial value problem (IVP) for the non-isotropic Schrödinger equation posed on the two-dimensional cylinders and is considered. The IVP is shown to be locally w…
Well-posedness for a higher order water wave model on modulation spaces
Xavier Carvajal, Mahendra Panthee
Considered in this work is the initial value problem (IVP) associated to a higher order water wave model \begin{equation*} \begin{cases} η_t+η_x-γ_1 η_{xxt}+γ_2η_{xxx}+δ_1 η_{xxxxt…
On the algebraic lower bound for the radius of spatial analyticity for the Zakharov-Kuznetsov and modified Zakharov-Kuznetsov equations
Mikaela Baldasso, Mahendra Panthee
We consider the initial value problem (IVP) for the 2D generalized Zakharov-Kuznetsov (ZK) equation \begin{equation} \begin{cases} \partial_{t}u+\partial_{x}Δu+μ\partial_{x}u^{k+1}…
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…