22 citations · 55 across the 25 of their papers we have counts for
5 papers · 2 filters
Local well-posedness for the quadratic Schrodinger equation in two-dimensional compact manifolds with boundary
Marcelo Nogueira, Mahendra Panthee
We consider the quadractic NLS posed on a bidimensional compact Riemannian manifold with . Using bilinear and gradient bilinear Strichartz esti…
On the well-posedness, ill-posedness and norm-inflation for a higher order water wave model on a periodic domain
Xavier Carvajal, Mahendra Panthee, Ricardo Pastran
In this work we are interested in the well-posedness issues for the initial value problem associated with a higher order water wave model posed on a pe\-rio\-dic domain $\mathbb{T}…
Local and global well-posedness for a quadratic Schrödinger system on spheres and Zoll manifolds
Marcelo Nogueira, Mahendra Panthee
We consider the initial value problem (IVP) associated to a quadratic Schrödinger system \begin{equation*} \begin{cases} i \partial_{t} v \pm Δ_{g} v - v = ε_{1} u \bar{v}, & t \in…
On the controllability and Stabilization of the Benjamin Equation
M. Panthee, F. Vielma Leal
The aim of this paper is to study the controllability and stabilization for the Benjamin equation on a periodic domain . We show that the Benjamin equation is globally…
On the controllability and stabilization of the linearized Benjamin equation on a periodic domain
Mahendra Panthee, Francisco J. Vielma Leal
In this work we study the controllability and stabilization of the linearized Benjamin equation which models the unidirectional propagation of long waves in a two-fluid system wher…