2 papers
math.AP2025
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 m…
math.AP2025
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…