4 papers
Scattering and nonlinear recovery for the 1 NLW with localized nonlinearity
Luccas Campos, Jason Murphy, Renzo Scarpelli
We consider the wave equation in 1 with a spatially-localized cubic nonlinearity. We establish scattering in a weighted space and demonstrate the injectivity of the scattering m…
Threshold dynamics for the radial cubic NLS with repulsive inverse-square potential
Luke Baker, Luccas Campos, Jason Murphy +1
We classify the dynamics of radial solutions at the (radial) ground state threshold for the cubic NLS in the presence of a repulsive inverse-square potential.
Energy critical fourth-order Schrödinger equation system with power-type nonlinearities in the radial case
Maicon Hespanha, Renzo Scarpelli
In this paper, we study a system of focusing fourth-order Schrödinger equations in the energy-critical setting with radial initial data and general power-type nonlinearities. The…
Blow-up results for Inhomogeneous fourth-order nonlinear Schrödinger Equation
Renzo Scarpelli, Maicon Hespanha
In this paper, we investigate the blow-up phenomenon of the norm of solutions to the inhomogeneous biharmonic Schrodinger equation in two distinct scenarios. First, we consid…