3 papers
math.AP2026
Instantaneous analytic smoothing of rough data for the modified and cubic gKdV equations
Argenis J. Mendez G, Marcelo Nogueira
We consider the -generalized Korteweg-de Vries equation \begin{equation*} \partial_{t}v+\partial_{x}^{3}v +\partial_{x}(v^{k+1})=0, \qquad (t,x)\in\mathbb R\times\mathbb R, \qqu…
math.AP2019
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…
math.AP2018
On the Schrödinger-Debye System in Compact Riemannian Manifolds
Marcelo Nogueira, Mahendra Panthee
We consider the initial value problem (IVP) associated to the Schrödinger-Debye system posed on a -dimensional compact Riemannian manifold and prove local well-posedness res…