22 citations · 55 across the 25 of their papers we have counts for
34 papers
Unconditional Well-posedness for the MMT Equation on the Torus
Mahendra Panthee, James Patterson, Yuzhao Wang
We consider the initial value problem (IVP) for a two-parameter family of derivative nonlinear Schrödinger equations on the torus, known as the Majda-McLaughlin-Tabak (MMT) model a…
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…
On the well-posedness of the initial value problem for the MMT model
Mahendra Panthee, James Patterson, Yuzhao Wang
This work investigates the initial value problem (IVP) for the two-parameter family of dispersive wave equations known as the Majda-McLaughlin-Tabak (MMT) model, which arises in th…
Local well-posedness for a system of modified KdV equations in modulation spaces
Xavier Carvajal, Fidel Cuba, Mahendra Panthee
In this work, we consider the initial value problem (IVP) for a system of modified Korteweg-de Vries (mKdV) equations \begin{equation} \begin{cases} \partial_t v + \partial_x^3 v+…
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…