3 papers
math.AP2026
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…
math.AP2026
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…
math.AP2025
Unconditional Uniqueness of 5th Order KP Equations
James Patterson
In this paper we study the th Order Kadomstev-Petviashvili (KP) equations posed on the real line. In particular we adapt the energy estimate argument from Guo-Molinet (arXiv:240…