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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.AP2019
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…