6 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…
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…
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+…
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}Îu+μ\partial_{x}u^{k+…
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…
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…